Chapter 2.7, Problem 19P

The windows on a building are proportional to the size of the building. The height of each window is 18 in., and the width is 11 in. If the height of the building is $108\text{ft}$, what is the width of the building?

To determine

To Find: the width of the building.

Answer to Problem 19P

  $66\text{ft}$

Explanation of Solution

Given:

height of each window $=18\text{in}$

width of each window is $=11\text{in}$

height of the building is $=108\text{ft}$

Calculation:

Let, the width of the building is x .

Since the windows of the building are proportional to the size of the building.

Therefore, ratio of their corresponding sides are equal.

  $\begin{array}{l}\frac{18\text{in}}{11\text{in}}=\frac{108\text{ft}}{x}\\ x=\frac{11}{18}\times 108\text{ft}\\ x=66\text{ft}\end{array}$

the width of the building is $x=66\text{ft}$