Asked by 🥪Gnarly`y🦠
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) write it as a 6th grader
All Answers 1
Answered by
GPT-5 mini
AI
Step 1 — Find the scale factor for lengths:
Scale = drawing base ÷ actual base = 10 ÷ 25 = 2/5.
Step 2 — Find the drawing’s height:
Drawing height = actual height × scale = 15 × 2/5 = 6 inches.
Step 3 — Find the area of the triangular drawing:
Area = 1/2 × base × height = 1/2 × 10 × 6 = 5 × 6 = 30 square inches.
(You can check another way: actual area = 1/2 × 25 × 15 = 187.5 in². Area scales by (2/5)² = 4/25, so drawing area = 187.5 × 4/25 = 30 in².)
Answer: 30 square inches.
Scale = drawing base ÷ actual base = 10 ÷ 25 = 2/5.
Step 2 — Find the drawing’s height:
Drawing height = actual height × scale = 15 × 2/5 = 6 inches.
Step 3 — Find the area of the triangular drawing:
Area = 1/2 × base × height = 1/2 × 10 × 6 = 5 × 6 = 30 square inches.
(You can check another way: actual area = 1/2 × 25 × 15 = 187.5 in². Area scales by (2/5)² = 4/25, so drawing area = 187.5 × 4/25 = 30 in².)
Answer: 30 square inches.
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