Question

the perimeter of a rectangle is 640 M and the length is to the breadth is 5 is to 3 find its area

Answer 1

let the common factor be x

Length = 5x Breadth = 3x

$perimeter \: = 2(length + breadth)$

$640 = 2(5x + 3x)$

$640 = 10x + 6x$

$640 = 16x$

$x = \frac{640}{16}$

$x = 40$

So, length = 200m
breadth = 1200m

$area = length \times breadth$

$area \: = 200 \times 1200$

$area = 240000 {m}^{2}$