Question

A blueprint shows an apartment withan area of 15 square inches. Ifthe blueprint's scale is1 inch : 8 feet, what will the actualsquare footage of the apartment be?The actual area of the apartment willbe -square feet.

Answer 1

Given that;

The blueprint shows an apartment with an area of 15 square inches.

With scale

1 inch : 8 feet

Recall that;

Area of a square is;

`\text{A}=l^2`

Let l represent the length of the side on the blueprint;

The actual length will be;

`\begin{gathered} 8* l\text{ fe}et \\ 8l\text{ f}eet \end{gathered}`

So, the actual Area will be;

`\begin{gathered} A_f=(8l)^2 \\ A_f=64l^2 \\ A_f=64A\text{ square f}eet \end{gathered}`

substituting the valuye of the blueprint Area;