Question

The length of a rectangle is twice its breadth and the area is 98 sq. units. What is the perimeter of the rectangle

Answer 1

As with all word problems we first have to convert it to an equation or equations.

L = length of the Rectangle and B = its breadth

So L = 2 * B

A = area of the rectangle which is 98 cm^2

So A = L * B = 98 cm^2

substitute 2B for L from the 1st equation to give A = 2 * B*B= 2 * B^2 = 98 cm^2

Thus B^2 = 49 cm^2

finally B = 7 cm and therefore L = 2 * B = 14cm

The perimeter P = 2 * (L+B) = 2* (8cm + 14cm) = 2 * 22cm = 44 cm