Question

A rectangle of perimeter 10.75 metres and area 5.8 square metres is to be made. What should be the lengths of its sides?

Answer 1

Let the length and breadth of the rectangle be l and b respectively.

Perimeter of the rectangle = 10.75 m

⇒ 2(l + b) = 10.75

⇒ l + b =

⇒ l + b = 5.375 … (1)

Area of the rectangle = 5.8 m²

⇒ lb = 5.8

Putting the value of b in equation (1):

Comparing the above equation with general quadratic equation:

a = 1, b = −5.375 and c = 5.8

From (1), we get:

b = 1.49 or 3.88

Thus, the length and the breadth of the rectangle are 3.88 m and 1.49 m respectively.