RBSE Solutions for Class 8 Maths Chapter 14 Area In Text Exercise

RBSE Solutions for Class 8 Maths Chapter 14 Area In Text Exercise is part of RBSE Solutions for Class 8 Maths. Here we have given Rajasthan Board RBSE Class 8 Maths Chapter 14 Area In Text Exercise.

Board RBSE
Textbook SIERT, Rajasthan
Class Class 8
Subject Maths
Chapter Chapter 14
Chapter Name Area
Exercise In Text Exercise
Number of Questions 2
Category RBSE Solutions

Rajasthan Board RBSE Class 8 Maths Chapter 14 Area In Text Exercise

Page No: 168

Question 1.
Azhar has a trapezium shaped farm. He divide it into three parts as shown in the figure.
Show that the(RBSESolutions.com)area of the trapezium PQRS = Area of ∆SPT + area of rectangle STUR + area of ∆RUQ. And compare it with the area of the trapezium h x \(\frac { (a+b) }{ 2 }\)
RBSE Solutions for Class 8 Maths Chapter 14 Area In Text Exercise img-1
Solution:
Area of ∆ SPT
= \(\frac { Base\times Height }{ 2 } \)
RBSE Solutions for Class 8 Maths Chapter 14 Area In Text Exercise img-2
RBSE Solutions for Class 8 Maths Chapter 14 Area In Text Exercise img-3
From (1) and (2) we find that area of trapezium PQRS is equal by both ways.

Page No: 169

RBSE Solutions

Question 2.
Is trapezium having different parameter(RBSESolutions.com)has same area? Prove with the help of the data given in the following figures.
RBSE Solutions for Class 8 Maths Chapter 14 Area In Text Exercise img-4
Solution:
(i) Perimeter of Trapezium = 4 + 9 + 8 + 9 = 30 units
PT is parallel to QR and PU ⊥ RS
∵ PT || QR and PQ || TR
∴ PQRT is a(RBSESolutions.com)parallelogram.
∴ PT = QR = 9 unit and TR = PQ = 4 unit
∴ ST = RS – RT = 8 – 4 = 4 unit
RBSE Solutions for Class 8 Maths Chapter 14 Area In Text Exercise img-5

RBSE Solutions
RBSE Solutions for Class 8 Maths Chapter 14 Area In Text Exercise img-6
RBSE Solutions for Class 8 Maths Chapter 14 Area In Text Exercise img-7

RBSE Solutions
RBSE Solutions for Class 8 Maths Chapter 14 Area In Text Exercise img-8
RBSE Solutions for Class 8 Maths Chapter 14 Area In Text Exercise img-9
From (i), (ii) and (iii) it is clear that trapezium having(RBSESolutions.com)different perimeters can not have same area.

RBSE Solutions

We hope the given RBSE Solutions for Class 8 Maths Chapter 14 Area In Text Exercise will help you. If you have any query regarding Rajasthan Board RBSE Class 8 Maths Chapter 14 Area In Text Exercise, drop a comment below and we will get back to you at the earliest.