Question

in a scale drawing of a house, 1 inch represents 9 feet. scale 1 in : 9 ft answer the following. (a) the length of the real house is 27 feet. what is the length of the house in the scale drawing? inches (b) in the scale drawing, the height of the house is 8 inches. what is the height of the real house? feet

Explanation:

Step1: Set up scale ratio

The scale is $1$ inch $: 9$ feet, or $\frac{1\ \text{in}}{9\ \text{ft}}$.

Step2: Solve part (a): find drawing length

Divide real length by scale factor.
$\text{Drawing length} = \frac{27\ \text{ft}}{9\ \text{ft/in}} = 3\ \text{in}$

Step3: Solve part (b): find real height

Multiply drawing height by scale factor.
$\text{Real height} = 8\ \text{in} \times 9\ \text{ft/in} = 72\ \text{ft}$

Answer:

(a) 3 inches
(b) 72 feet