Question

The area of rectangle is 192 cm² and its perimeter is 56 cm. Find the dimensions of the rectangle.

Answer 1

Area of the rectangle = 192 cm²

Perimeter of the rectangle = 56 cm

Perimeter = 2(length + breath)

\(\Rightarrow \) 56 = 2(l + b)

\(\Rightarrow \) l + b = 28

\(\Rightarrow \) l = 28 - b

Area = length x breath

Thus, we have;

l = 28 - 12

\(\Rightarrow \) l = 28 - 12

\(\Rightarrow \) l = 16

We will take length as 16 cm and breath as 12 cm because length is greater than breath by convention.