Question

the length and width of a rectangle is in a ratio 3:2 find the area if the perimeter is 60 cm.

Answer 1

Given:

The ratio of the length and width of a rectangle is 3:2

The perimeter is 60 cm.

To find: Area of the rectangle

Explanation:

Let 3x and 2x be the length and breadth of the rectangle.

Using the formula of the perimeter,

$\begin{gathered} P=2(l+b) \\ 60=2(3x+2x) \\ 60=2(5x) \\ 60=10x \\ x=6 \end{gathered}$

So, the length and breadth are 18cm and 12cm.

The formula of area of the rectangle is,

$\begin{gathered} A=l\times b \\ A=18\times12 \\ A=216cm^2 \end{gathered}$

Final answer: The area of the rectangle is 216 square cm.