If the diagonal of a rectangle is 24cm long and its perimeter is 64 cm. Find the area of the rectangle.

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16 Oct 2018 Area If the diagonal of a rectangle is 24cm long and its perimeter is 64 cm. Find the area of the rectangle.: OPtion
1) 200 sq.cm
2) 212 sq.cm
3) 224 sq.cm
4) 216 sq.cm
5) 225 sq.cm
6) 220 sq.cm
7) 230 sq.cm
8) 240 sq.cm
9) 204 sq.cm
10) None of these; Correct Option: 3 Best Solution (3)

G.S.Kantharao 5 years AGO

√(l^2+b^2)=24=>l^2+b^2=24^2
2(l+b)=64=>l+b=32
(l+b)^2=32^2
l^2+b^2+2lb=32^2
2lb=32^2-24^2=(32+24)(32-24)
=56*8
Lb=56*8/2=56*4=224 sq.cm
Hence my option is 3👈

Like? Yes (4) | No

AASHRAY AJAY SHARMA 5 years AGO

by Algebraic formula,
(l+b)^2-2lb=l^2 + b^2
(32)^2 - 2(lb) = 24^2
lb=448/2=224

Like? Yes | No

Varun 5 years AGO

2(x+y) = 64
(x+y)^2 = 32^2
= > xy = 224
Area = 224
= Option (3)

Like? Yes | No (1)

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India

Punjab

Time: 00:01:33

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If the diagonal of a rectangle is 24cm long and its perimeter is 64 cm. Find the area of the rectang

M4maths Previous Puzzles

16 Oct 2018 Area