Question

directions: study the figure, read each question and choose the best answer.

1. the rectangle represents a theater stage. the area of the stage is 1,200 square feet. what is the width of the stage?

a. 60 ft
b. 30 ft
c. 20 ft
d. 15 ft

Explanation:

Step1: Recall the area formula for a rectangle

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

Step2: Substitute the known values into the formula

We know that \(A = 1200\) square feet and \(l = 40\) feet. So, \(1200=40\times w\).

Step3: Solve for \(w\)

To find \(w\), we use the formula \(w=\frac{A}{l}\). Substituting the values, we get \(w = \frac{1200}{40}\).

$$ \frac{1200}{40}=30 $$

Answer:

B. \(30\) ft