Question

what is the area of the shaded portion of the picture frame?
15 in.
9 in.
9 in.
15 in.
a. 117 in.²
b. 144 in.²
c. 225 in.²
d. 306 in.²

Explanation:

Step1: Calculate the area of the large square

The formula for the area of a square is \(A = s^2\), where \(s\) is the side length. For the large square with \(s = 15\) in, \(A_{large}=15\times15 = 225\) in².

Step2: Calculate the area of the small square

For the small square with \(s = 9\) in, using the area formula \(A = s^2\), \(A_{small}=9\times9=81\) in².

Step3: Find the area of the shaded region

The area of the shaded region \(A_{shaded}=A_{large}-A_{small}\). Substitute the values: \(A_{shaded}=225 - 81=144\) in².

Answer:

B. 144 in.²