Question

find the perimeter of a rectangle having area equal to 144 (cm)2 and the sides are in the ratio 4:9​

Answer 1

Given: The area of the rectangle is 144cm^2 and the sides are in the ratio 4:9.

To find: The perimeter.

Answer:

Let the length be 4x and the breadth be 9x.

Area of a rectangle = Length*Breadth.

144 = 4x*9x

144 = 36x^2

x^2 = $\frac{144}{36}$

x^2 = 4

x = √4

x = 2 cm

Therefore, the length = 4*2 = 8 cm and the breadth = 18 cm.

Now, to find the perimeter.

Perimeter of a rectangle = 2(Length + Breadth)

Perimeter = 2(8 + 18)

Perimeter = 2*26

Perimeter = 52 cm

Therefore, the perimeter = 52 cm.