AP Board Class 8 Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Book Answers ~ HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

AP Board Class 8 Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Book Answers

AP Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbooks Solutions and answers for students are now available in pdf format. Andhra Pradesh Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Book answers and solutions are one of the most important study materials for any student. The Andhra Pradesh State Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 books are published by the Andhra Pradesh Board Publishers. These Andhra Pradesh Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 textbooks are prepared by a group of expert faculty members. Students can download these AP Board STD 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 book solutions pdf online from this page.

Andhra Pradesh Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbooks Solutions PDF

Andhra Pradesh State Board STD 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Books Solutions with Answers are prepared and published by the Andhra Pradesh Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of AP Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Books Answers Solutions, then you are in the right place. Here is a complete hub of Andhra Pradesh State Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Andhra Pradesh Board STD 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbooks. These Andhra Pradesh State Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Andhra Pradesh Board.

Andhra Pradesh State Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Books Solutions

Board	AP Board
Materials	Textbook Solutions/Guide
Format	DOC/PDF
Class	8th
Subject	Maths
Chapters	Maths Chapter 9 Area of Plane Figures Ex 9.1
Provider	Hsslive

How to download Andhra Pradesh Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbook Solutions Answers PDF Online?

Visit our website - Hsslive
Click on the Andhra Pradesh Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Answers.
Look for your Andhra Pradesh Board STD 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbooks PDF.
Now download or read the Andhra Pradesh Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbook Solutions for PDF Free.

AP Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

Question 1.
Divide the given shapes as instructed.

(i)

Solution:
Rectangle ABCD
Rectangle CEFG
Rectangle FHIJ

(ii)

Solution:
Rectangle ABCD
Rectangle EFGH
Rectangle CHIJ

(iii)

Solution:
Trapezium ABEF Trapezium BCDE

(iv)

Solution:
Triangle ABC
Triangle DEF B
Rectangle ACDF

(v)

Solution:
Triangle BCD
Triangle BDE

Question 2.
Find the area enclosed by each of the following figures

Solution:
i) Area of a pentagon ABCDE = Area of square ACDE + area of Δ ABC
= AE × ED + 12 AC × BF
= 4 × 4 + 12 × 4 × 2
[∵ AC = ED = 4 cm;
BF = BD-CD = 6-4 = 2 cm]
= 16 + 4 = 20 sq.cm.

ii)

Area of a figure ABCDEF
= Area of square ABCF + area of trapezium CDEF
= AB × BC + 12 CG × (ED + CF)
= 18 × 18 + 12 × 8 × (7+ 18)
[∵h = CG = 8 cm, FC = AB = 18 cm]
= 324 + 4 × 25
= 324 + 100
= 424 cm²

iii)

Area of a figure ABCDEF
= Area of rectangle ABCD + area of trapezium ADEF
= AB × BC + 12 × GA × (EF + AD)
= 20 × 15 + 12 × 8 × (6 + 15)
[∵ GA = GB-AB = 28-20 = 8cm;
AD = BC – 15 cm]
= 300 + 4 × 21
= 300 + 84
= 384 sq.cm

Question 3.
Calculate the area of a quadrilateral ABCD when length of the diagonal AC = 10 cm and the lengths of perpendiculars from B and D on AC be 5 cm and 6 cm respectively.
Solution:
From the figire given below

h₁ = 6 cm,
h₂ = 5 cm,
d = 10 cm.
Area of a quadrilateral ABCD
= 12 d(h₁+h₂) . .
= 12 AC × (DE + BF)
= 12 × 10(6+5)
= 5 × 11 = 55sq.cm.

Question 4.
Diagram of the adjacent picture frame has outer dimensions 28 cm × 24 cm and inner dimensions 20 cm × 16 cm. Find the area of shaded part of frame, if width of each section is E the same.

Solution:
The outer dimensions of a picture frame = 28 cm × 24 cm

Length of the outer edge = 28 cm.
Breadth of the outer edge = 24 cm.
Dimensions of inner picture frame = 20 cm × 16 cm
Length of inner edge = 20 cm
Breadth of inner edge = 16 cm.
Area of AABC = 12 × b × h
= 12 × AC × BC
= 12 × 4 × 4 = 8 cm²
Area of rectangle CDEB = l × b
= CD × DE
= 20 × 4
= 80 cm²

Area of ADEF = 12 × b × h
= 12 × DF × DE
= 12 × 4 = 8sq.cm
∴ The area of the shaded region
= ar ΔABC + ar ▭ CDEB + ar ADEF
= 8 + 80 + 8
= 96 sq.cm.

Question 5.
Find the area of each of the following fields. All dimensions are in metres
Solution:

(i) Area of a trapezium ABCH
= 12 × h(a + b)
= 12 × 80 × (30 + 40)
= 40 (70)
= 2800 sq.m.

Area of Δ HCD =12 × HC × HD
= 12 × 40 × 80
= 1600 sq.m.

Area of Δ EID = 12 × El × ID
= 12 × 60 × 40
= 1200 sq.m.

Area of trapezium FGIE
= 12 × h(a + b)
= 12 × 70 × (50 + 60)
= 35 (110)
= 3850 sq.m.

Area of Δ FGA = 12 × FG × GA
= 12 × 25 × 50
= 1250 sq.m.

∴ Area of the field

= 2800 + 1600 + 1200 + 3850 + 1250
= 10700 sq.m.

ii) Area of ΔABK = 12 × KB × KA
= 12 x 30 × 50
= 750 sq.m.

Area of trapezium KBCI
= 12 × h(a + b)
= 12 × 60 (30 + 40)
= 30 (70)
= 2100 sq.m.

Area of trapezium ICDE
= 12 × h(a + b)
= 12 × 80 × (40 + 50)
= 40 (90)
= 3600 sq.m.

Area of Δ FHE = 12 × FH × HE
=12 × 20 × 40
= 400 sq.m.

Area of trapezium GJHF
= 12 × h(a + b)
= 12 × 80 × (40 + 20)
= 40 (60)
= 2400 sq.m.

∴ Area of ΔGJA = 12 × GJ × JA
= 12 × 40 × 70
= 1400 sq.m.

∴ Area of the field

= 750 + 2100 + 3600 + 400 + 2400 + 1400
= 10650 sq.m.

Question 6.
The ratio of the length of the parallel sides of a trapezium is 5:3 and the distance between them is 16cm. If the area of the trapezium is 960 cm², find the length of the parallel sides.
Solution:
The ratio of the length of parallel sides of a trapezium = 5:3.
Let the parallel sides be 5x, 3x say.
∴ a = 5x cm, b = 3x cm
The distance between the parallel sides
(h) = 16 cm.
∴ Area of a trapezium
= 12 × h(a + b)
= 12 × 16 x (5x + 3x)
= 8(8x)
= 64 x

According to the problem,
Area of the trapezium = 960 sq.cm.
∴ 64x = 960
x = 96064 = 15
∴ The length of parallel sides
a = 5x = 5 × 15 = 75 cm
b = 3x = 3 × 15 = 45 cm

Question 7.
The floor of a building consists of around 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of flooring if each tile costs rupees 20 per m².
Solution:

The floor of a building is paved with 3000 tiles.
The shape of each tile is a rhombus.
Diagonals of a tile are
d₁ = 45 cm, d₂ = 30 cm.
Area of each tile = 12 × d₁ d₂
= 12 × 45 × 30
= 675 sq.cm.
∴ Area of floor
= 3000 × 675
= 2025000 sq.cm
= 202500010000 sq m
(∵ 1 sq.m. = 10000 sq.cm) 2025
= 202510 sq.m.
= 202.5 sq.m.
The cost of tile per square meter = ₹ 20
∴ The cost of flooring = ₹ 202.5 × 20
= ₹ 4050

Question 8.
There is a pentagonal shaped parts as shown in figure. For finding its area Jyothi and Rashida divided it in two different ways. Find the area in both ways and what do you
observe?

Solution:

Area of pentagon ABCDE

= 12 × AF × (AB + CF) + 12 FE x (ED + CF)
= 12 × 7.5 × (15+30) + 12 x 7.5 x (15+30)
= 12 × 7.5 × 45 + 12 x 7.5 x 45
= 2 × (12 × 7.5 × 45)
= 7.5 × 45 = 337.50 sq.cm.

Rashida’s Method :

Area of square ABDE = side × side
= AE × ED = 15 × 15 = 225 sq.cm.

Area of ABDC =12 × b × h
= 12 × BD × CF
= 12 × 15 × 15
( ∵ CF = 30 – 15 = 15 )
= 2252 = 112.50 sq.cm
∴ Area of pentagon ABCDE
= ar □ ABDE + ar ΔBDC
= 225 + 112.50 = 337.50 sq.cm
The area of a polygon can’t changed if its procedures are changed

AP Board Textbook Solutions PDF for Class 8th Maths

Andhra Pradesh Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbooks for Exam Preparations

Andhra Pradesh Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 exam preparation. The AP Board STD 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Books State Board syllabus with maximum efficiency.

FAQs Regarding Andhra Pradesh Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbook Solutions

How to get AP Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbook Answers??

Students can download the Andhra Pradesh Board Class 8 Maths Chapter 9 Area of Plane Figures Ex 9.1 Answers PDF from the links provided above.

Can we get a Andhra Pradesh State Board Book PDF for all Classes?

Yes you can get Andhra Pradesh Board Text Book PDF for all classes using the links provided in the above article.

Important Terms

Andhra Pradesh Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1, AP Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbooks, Andhra Pradesh State Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1, Andhra Pradesh State Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbook solutions, AP Board Class 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbooks Solutions, Andhra Pradesh Board STD 8th Maths Chapter 9 Area of Plane Figures Ex 9.1, AP Board STD 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbooks, Andhra Pradesh State Board STD 8th Maths Chapter 9 Area of Plane Figures Ex 9.1, Andhra Pradesh State Board STD 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbook solutions, AP Board STD 8th Maths Chapter 9 Area of Plane Figures Ex 9.1 Textbooks Solutions,

HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

Hsslive.co.in: Kerala Higher Secondary News, Plus Two Notes, Plus One Notes, Plus two study material, Higher Secondary Question Paper.

Wednesday, July 27, 2022