If the diagonal of a rectangle is 23cm long and its perimeter is 52 cm. Find the area of the rectangle in sq. cm.

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24 Oct 2019 Area If the diagonal of a rectangle is 23cm long and its perimeter is 52 cm. Find the area of the rectangle in sq. cm.: OPtion
1) 73.5
2) 147
3) 148
4) 150
5) 140
6) 144
7) 145
8) 77.5
9) 74.5
10) None of these; Correct Option: 1 Best Solution (6)

Dr.Dipin Singh 5 years AGO

if sides are a nd b respectively, then
a+b=52/2=26 cms
a^2 +b^2 = 23^2= 529
2ab = (a+b)^2- (a^2+b^2)
area ab = (676-529)/2= 73.5 sq cms

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Varun 5 years AGO

Area of rectangle = xy
(x+y)^2 = x^2 + y^2 +2xy
Given :
Diagonal = Root (x+y) = 23
Perimeter = 2(x+y) = 52
=>x+y=26
Substituting values in above formula of (x+y)^2
We get area = xy = 73.5
= Option (1)

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suryanarayana 5 years AGO

2(l+b)=52
l+b=26
l²+b²=23²
lb=73.5

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G.S.Kantharao 5 years AGO

l+b=26=>l^2+b^2+2lb=26^2
23^2+2lb=26^2
2lb=(26+23)(26-23)=147
Lb=147/2=73.5cm^2
My option is 1👈

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SAYAN CHATTERJEE 5 years AGO

√(a^2+b^2)= 23
2(a+b)= 52.
on solving, ab= 73.5.
Option 1.

Like? Yes | No (1)

RAMADURAI NATESAN 5 years AGO

Perimeter =2(l+b) =52. l+b = 26.
(l+b)^2 = l^ + b^ + 2lb = 676
23^ + 2lb = 676. 2lb = 147. Area = lb = 73.5

Like? Yes | No (1)

Dimple

India

Punjab

Time: 00:01:33

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If the diagonal of a rectangle is 23cm long and its perimeter is 52 cm. Find the area of the rectang

M4maths Previous Puzzles

24 Oct 2019 Area