Question

A basketball court has a rectangular shape with a length of 94 feet and a width of 50 feet. Janet made two scale models if the ratios of similarity to the actual size of a basketball court are 1/2 and 1/16, respectively? What is the area of the smallest scale model?

Answer 1

Step-by-step explanation:

Note that there are two scale models with each of ratio of 1/2 and 1/16 respectively.

For the first model, the dimension will be as follows:

Length/2 by width/2

94/2 by 50/2 = 47 feet by 25 feet.

For the second model, the dimension will be as follows:

Length/16 by width/16

The dimensions of the second model is 94/16 by 50/16 = 5.875 feet by 3.125 feet.

Since we are to solve for the area of the smallest scale model which is

5.875 feet by 3.125 feet.

Hence, area (A) = L× W

=5.875 × 3.125 feet.

= 18.359ft^2