Question

jermaine draws a scale drawing of a porch on a grid with 1 - centimeter squares. his drawing is a rectangle that is 6 cm by 9 cm, and he used the scale 1 cm : 4 ft. on this grid, redraw the scale drawing using a scale of 1 cm : 6 ft. then find the actual area of the porch.

Explanation:

Step1: Find actual length and width with first scale

First, use the scale \(1\,\text{cm}:4\,\text{ft}\). For the length of \(9\,\text{cm}\) in the drawing:
Actual length \(= 9\times4 = 36\,\text{ft}\).
For the width of \(6\,\text{cm}\) in the drawing:
Actual width \(= 6\times4 = 24\,\text{ft}\).

Step2: Calculate actual area

The area of a rectangle is \(A=\text{length}\times\text{width}\).
So, actual area \(= 36\times24 = 864\,\text{square feet}\).

Answer:

The actual area of the porch is \(864\) square feet.