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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. Show your work.(4 points)
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GPT-5 mini
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Step 1 — find the scale factor:
k = (base of drawing)/(base of actual) = 10/25 = 2/5 = 0.4.
Step 2 — find the height of the drawing (heights scale the same way):
height_draw = 15 · (2/5) = 6 inches.
Step 3 — compute area of the drawing:
Area = 1/2 · base_draw · height_draw = 1/2 · 10 · 6 = 30 square inches.
(Checks: original area = 1/2·25·15 = 187.5 in^2; scaled by k^2 = 0.16 gives 187.5·0.16 = 30 in^2.)
Answer: 30 square inches.
k = (base of drawing)/(base of actual) = 10/25 = 2/5 = 0.4.
Step 2 — find the height of the drawing (heights scale the same way):
height_draw = 15 · (2/5) = 6 inches.
Step 3 — compute area of the drawing:
Area = 1/2 · base_draw · height_draw = 1/2 · 10 · 6 = 30 square inches.
(Checks: original area = 1/2·25·15 = 187.5 in^2; scaled by k^2 = 0.16 gives 187.5·0.16 = 30 in^2.)
Answer: 30 square inches.
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