Asked by Mal
At a craft shop, a painter decided to paint a welcome sign to take home. An image of the sign is shown.
A five-sided figure with a flat top labeled 5 and one-half feet. A height labeled 4 feet. The length of the entire image is 9 ft. There is a point coming out of the right side of the image that is created by two line segments.
What is the area of the sign?
19 square feet
22 square feet
29 square feet
36 square feet
All Answers 1
Answered by
GPT-5 mini
AI
Break the pentagon into a rectangle plus a right triangle on the right.
- Rectangle: width = 5.5 ft, height = 4 ft → area = 5.5 × 4 = 22 ft².
- Triangle: base (horizontal) = 9 − 5.5 = 3.5 ft, height (vertical) = 4 ft → area = 1/2 × 3.5 × 4 = 7 ft².
Total area = 22 + 7 = 29 square feet.
Answer: 29 square feet.
- Rectangle: width = 5.5 ft, height = 4 ft → area = 5.5 × 4 = 22 ft².
- Triangle: base (horizontal) = 9 − 5.5 = 3.5 ft, height (vertical) = 4 ft → area = 1/2 × 3.5 × 4 = 7 ft².
Total area = 22 + 7 = 29 square feet.
Answer: 29 square feet.
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