Question

the owner of sky high adventure park plans to install a new attraction. he made a scale drawing of a rectangular trampoline that leads into a rectangular pit filled with foam. the drawing used a scale of 1 inch to 4 feet. how much area will the actual trampoline and foam pit take up? write your answer as a whole number, decimal, proper fraction, or mixed number. square feet

Explanation:

Step1: Convert the length and width of the combined figure (trampoline + foam pit) from inches to feet.

The total length in the drawing is \(7\frac{1}{2}\) inches. Using the scale \(1\) inch \( = 4\) feet, the actual length \(L=7\frac{1}{2}\times4=\frac{15}{2}\times4 = 30\) feet.
The total width in the drawing is \(3\) inches. Using the scale \(1\) inch \(=4\) feet, the actual width \(W = 3\times4=12\) feet.

Step2: Calculate the area of the combined rectangle.

The area formula for a rectangle is \(A = L\times W\). Substitute \(L = 30\) and \(W = 12\) into the formula: \(A=30\times12\).

$$A = 360$$

Answer:

\(360\)