Question

The perimeter of a rectangle is 30 m and the ratio between a and breadth is 7 ratio 3 find the area of rectangle

Answer 1

QUESTION

The perimeter of a rectangle is 30 m and the ratio between its length and breadth is 7 : 3 .  Find the area of rectangle.

ANSWER

Let,

length of rectangle  = l  = 7 x

and ,

breadth of rectangle = b = 3 x

now,

perimeter of rectangle = 30 m

2 ( l + b ) = 30

l + b = 15

7x + 3x = 15

10x = 15

x = 1.5

so,

length of rectangle = l = 7 x = 7 (1.5) = 10.5  m

and, breadth of rectangle = b = 3 x = 3 (1.5) = 4.5 m

so,

area of rectangle = l * b

area of rectangle = 10.5 *  4.5

area of rectangle = 47.25  m^2