# A rectangle has an area of 235.2m^2. One of the sides is 2.8m in length. How do you work out the perimeter of the rectangle?

Jan 5, 2017

$P e r i m e t e r = 173.6$

#### Explanation:

Since the area of the rectangle is given by:

$A r e a = s i {\mathrm{de}}_{1} \cdot s i {\mathrm{de}}_{2}$

you can solve the equation:

$235.2 = 2.8 \cdot s i {\mathrm{de}}_{2}$

Then

$s i {\mathrm{de}}_{2} = \frac{235.2}{2.8} = 84$

To get the perimeter you can sum the sides and multiply by 2:

$P e r i m e t e r = \left(s i {\mathrm{de}}_{1} + s i {\mathrm{de}}_{2}\right) \cdot 2$

that's

$\left(2.8 + 84\right) \cdot 2 = 173.6$