Question

A wire of 96cm is bend in the form of a rectangle such that it length is 8cm more than its breadth. Find the dimensions of the rectangle

Answer 1

perimeter= 2L +2 w
96= 2(x+8) + 2x
96 = 2x + 16 +2x
96= 4x +16
96-16= 4x +16-16
80= 4x
80/4=4x/4
x= 20
 therefore lenght = 20+8
28cm

Answer 2

Let the breadth be x. Then,
From the question,
2{x+(8+x)}=96
=>2{2x+8}=96
=>4x+16=96
=>4x=96-16
=>4x=80
=>x=80/4
=>x=20
Thus,
Breadth of rectangle=x=20 cm
Length of recrangle=x+8=28 cm
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