Question

a. Length of a rectangle is 3 m less than four times its breadth. If the perimeter of the rectangle is 94 m, find its length and breadth.

Answer 1

let the breadth of the rectangle be X
then, length will be 4x-3
perimeter=2(l+b)
94=2(4x-3+x)
94=2(5x-3)
94=10x-6
94+6=10x
100=10x
100/10=x
x=10
breadth=10m
length=37m

Answer 2

Let breadth be x
So length = 4x -3
As we know perimeter is given by = 2(l+b) = perimeter
So 2 ( 4x-3 + x) = 94
4x-3+x= 94\2 = 47
5x -3 =47
5x= 47+3 = 50
X = 50/5= 10
So breadth is 10m and length is 4x-3 which will be 37
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