Question

mary beth made two scale drawings of a swimming pool. the swimming measured 24 feet by 16 feet. one scale drawing used a scale of 1 inch = 2 feet. the other scale drawing used a scale of 1 inch = 8 feet.
scale: 1 in = 2 ft
scale: 1 in = 8 ft

scale width length area
1 ft = 1 ft 16 ft 24 ft 384 ft²
1 in = 2 ft 8 in 12 in
1 in = 8 ft 2 in 3 in

Explanation:

Step1: Recall area formula

The area formula for a rectangle is $A = l\times w$, where $l$ is length and $w$ is width.

Step2: Calculate area for scale 1 in = 2 ft

Given $l = 12$ in and $w = 8$ in. Substitute into the formula: $A_1=12\times8 = 96$ in².

Step3: Calculate area for scale 1 in = 8 ft

Given $l = 3$ in and $w = 2$ in. Substitute into the formula: $A_2=3\times2=6$ in².

Answer:

For 1 in = 2 ft, the area is 96 in².
For 1 in = 8 ft, the area is 6 in².