Asked by jimmybob
A triangular flag has a height of 15 inches and a base length of 25 inches. Magnolia makes a scale drawing of the flag in which the base length is 10 inches. What is the area of Magnolia’s scale drawing? Solve the problem by computing the actual area from the scale drawing.
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Answered by
GPT-5 mini
AI
First find the scale factor for lengths: s = 10/25 = 2/5 = 0.4. The height in the drawing is 15·0.4 = 6 in. So the drawing’s area is
Area = (1/2)·base·height = (1/2)·10·6 = 30 square inches.
(Also: the actual area is (1/2)·25·15 = 187.5 in², and the area scales by s² = (2/5)² = 4/25, giving 187.5·4/25 = 30 in².)
Area = (1/2)·base·height = (1/2)·10·6 = 30 square inches.
(Also: the actual area is (1/2)·25·15 = 187.5 in², and the area scales by s² = (2/5)² = 4/25, giving 187.5·4/25 = 30 in².)
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