Chapter 8.2, Problem 15PSB

To determine

To calculate: The area of the room.

Answer to Problem 15PSB

The size of the room is 154 ${\text{ft}}^2$

Explanation of Solution

Given information Room’s dimensions are 2.75 in by 3.75 in

Scale of the plan is $\frac{1}{4}in=1\text{ ft}$

Formula used:

The size of the room

= area of the room

= length $\times$ breadth

Calculation From the scale of plan, we have

1 in = 4 ft

  $\therefore$ Room’s dimensions will be

  $\begin{array}{l}2.75\times 4=11\text{ ft and}\\ \text{3}\text{.5}\times \text{4=14 ft}\end{array}$

  $\therefore$ Area of room$\begin{array}{l}=11\text{ ft }\times \text{ 14 ft}\\ {\text{=154 ft}}^2\end{array}$