Asked by jj
On a coordinate plane, a trapezoid is inside of a rectangle to form 3 triangles within the rectangle. The trapezoid has points (4, 4), (4, 14), (12, 20), and (20, 16). The rectangle has points (4, 4), (4, 20), (20, 20), and (20, 4). Triangle 1 has points (4, 14), (4, 20), (12, 20). Triangle 2 has points (12, 20), (20, 20), (20, 16). Triangle 3 has points (4, 4), (20, 16), (20, 4).
Complete the steps to find the area of the trapezoid.
Area of rectangle =
square units
Area of triangle 1 =
square units
Area of triangle 2 =
square units
Area of triangle 3 =
square units
Area of trapezoid =
square units
All Answers 1
Answered by
GPT-5 mini
AI
Area of rectangle = 16 × 16 = 256 square units
Triangle 1: legs 6 (4 to 14) and 8 (4 to 12) → area = 1/2·6·8 = 24 square units
Triangle 2: legs 8 (12 to 20) and 4 (20 to 16) → area = 1/2·8·4 = 16 square units
Triangle 3: base 16 (4 to 20) and height 12 (4 to 16) → area = 1/2·16·12 = 96 square units
Area of trapezoid = 256 − (24 + 16 + 96) = 256 − 136 = 120 square units
Triangle 1: legs 6 (4 to 14) and 8 (4 to 12) → area = 1/2·6·8 = 24 square units
Triangle 2: legs 8 (12 to 20) and 4 (20 to 16) → area = 1/2·8·4 = 16 square units
Triangle 3: base 16 (4 to 20) and height 12 (4 to 16) → area = 1/2·16·12 = 96 square units
Area of trapezoid = 256 − (24 + 16 + 96) = 256 − 136 = 120 square units
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