Question

A wall in Marcus's bedroom is $8\frac{2}{5}$ $\mathrm{feet}$ high and $18\frac{1}{3}$ $\mathrm{feet}$ long. If he paints $\frac{1}{2}$ of the wall blue, how many $\mathrm{square}\mathrm{feet}$ will be blue?

Answer 1

Use the formula of the area of a rectangle:

We know that,

$\text{Area of rectangle = length × width}$

Substitute the values of length and width,

$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{rectangle}=8\frac{2}{5}\times 18\frac{1}{3} \\ =\frac{42}{5}\times \frac{55}{3} \\ =\frac{2310}{15} \\ =154{\mathrm{ft}}^2 \end{gathered}$$

Since, he wants to paint half of the wall,

$\frac{154}{2}=77{\mathrm{ft}}^2$

Hence, $77{\mathrm{ft}}^2$ wall will be blue.