Question

The length of plot is 8 meters more than its breath. If its perimeter is 80 metres, find its length and breath.

1. nguyetanh
length = 24 meters
Step-by-step explanation:
Let L be length and B be breadth
From the first fact we get the equation
L = B + 8         (1)
We know that perimeter = 2(L+B) and this is given as 80
So 2(L+B) = 80
L + B = 80/2 = 40
or
L = 40 – B              (2)
If we add equations (1) and (2) we can eliminate B
We get 2L = B + 8 + 40 – B =48
L = 48/2 = 24
Substituting for L in equation (1) we get

24 = B + 8  ==>

B = 24-8 =16
Cross-check
Perimeter = 2 (L+B) = 2(24 + 16) = 2(40) = 80
Hence check OK