Question

May I please get help with this. I still can’t seem to figure out the answers for each

Answer 1

Solution:

Given:

$\begin{gathered} \text{Scale drawing of a house;} \\ 1in\colon9ft \end{gathered}$

This means 1 inch on the drawing is equivalent to 9 feet in real life.

Part A:

Let x represent the height of the real house.

$\begin{gathered} 1in=9ft \\ 8in=x \\ \text{Hence, cross multiplying,} \\ \\ x\times1=8\times9 \\ x=72\text{feet} \end{gathered}$

Therefore, the height of the real house is 72 feet.

Part B:

Let y represent the length of the house in the scale drawing.

$\begin{gathered} 1in=9ft \\ y=27ft \\ \text{Hence, cross multiplying,} \\ \\ 9\times y=27\times1 \\ 9y=27 \\ \text{Dividing both sides by 9,} \\ y=\frac{27}{9} \\ y=3 \end{gathered}$

Therefore, the length of the house in the scale drawing is 3 inches.