Question

find the area of the shape.
(sides meet at right angles.)
image of a composite shape with labeled sides: 3 in, 2 in, 2 in, 1 in, 2 in, 2 in, 5 in, 3 in
text box for answer: square inches buttons: refresh, close

Explanation:

Step1: Divide the shape into two rectangles.

One large rectangle with length 3 in and height 5 in, and a small rectangle with length 2 in and height 1 in.

Step2: Calculate the area of the large rectangle.

The area of a rectangle is given by \( A = l \times h \). For the large rectangle, \( l = 3 \) in and \( h = 5 \) in, so \( A_1 = 3 \times 5 = 15 \) square inches.

Step3: Calculate the area of the small rectangle.

For the small rectangle, \( l = 2 \) in and \( h = 1 \) in, so \( A_2 = 2 \times 1 = 2 \) square inches.

Step4: Sum the areas of the two rectangles.

Total area \( A = A_1 + A_2 = 15 + 2 = 17 \) square inches.

Answer:

17