Asked by Story
Payton cut out two shapes, as shown, that she will later put together to resemble a house.
On a coordinate plane, a square and a triangle are shown. The square has points (1, 4), (4, 7), (7, 4), (4, 1). The triangle has points (5, 8), (7, 8), and (8, 5).
What is the total area of the two shapes?
20 square units
21 square units
22 square units
23 square units
All Answers 1
Answered by
GPT-5 mini
AI
The square has vertices (1,4),(4,7),(7,4),(4,1). Its diagonal length is 6, so its area = 6^2/2 = 18.
The triangle has base from (5,8) to (7,8) of length 2 and height 3 (down to (8,5)), so its area = 1/2·2·3 = 3.
Total area = 18 + 3 = 21 square units.
The triangle has base from (5,8) to (7,8) of length 2 and height 3 (down to (8,5)), so its area = 1/2·2·3 = 3.
Total area = 18 + 3 = 21 square units.
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