Question

If the area of the rectangle is 960 sq. cm. The length of the rectangle is divided by its breadth, the result is 15. Then, what is the perimeter of the rectangle (in cm)?

1. 250
2. 248
3. 256
4. 264

Answer 1

Correct Answer - Option 3 : 256

Given:

Area of the rectangle = 960 sq. cm

Length/Breadth = 15

Formula Used:

Area of rectangle = lb

Perimeter of rectangle = 2(l + b)

Calculation:

Area of rectangle = lb

⇒ lb = 960  ….. (i)

Also, l/b = 15

⇒ l = 15b

Put this value in the equation (i), we have-

⇒ (15b)b = 960

⇒ 15b² = 960

⇒ b² =64

⇒ b = √64

⇒ b = 8 cm

So, l = 15b = 120 cm

Perimeter of rectangle = 2(l + b)

⇒ 2(120 + 8)

⇒ 2× 128

⇒ 256 cm

∴ Perimeter of the rectangle is 256 cm.