Question

1. a scale drawing of the tylertown community park, in which 1 in. = 24 yards, is shown below.

what is the actual perimeter of the tylertown community park?
a.22 yards
b.96 yards
c.116 yards
d.528 yards

Explanation:

Step1: Calculate the actual length and width

Given \(1\) in \( = 24\) yards.
The length of the rectangle in the scale - drawing is \(l = 8\) in. So the actual length \(L=8\times24 = 192\) yards.
The width of the rectangle in the scale - drawing is \(w = 3\) in. So the actual width \(W = 3\times24=72\) yards.

Step2: Use the perimeter formula for a rectangle

The perimeter formula of a rectangle is \(P = 2(L + W)\).
Substitute \(L = 192\) yards and \(W = 72\) yards into the formula:
\(P=2(192 + 72)\)
First, calculate the sum inside the parentheses: \(192+72=264\)
Then, multiply by \(2\): \(P = 2\times264=528\) yards

Answer:

D. 528 yards