Answer:
10 In.²
Step-by-step explanation:
Formula for height of trapezoid: 2a ÷ (b1 + b2)
B1: 3, B2: 7
Area: 50
7 + 3 = 10
50 · 2 = 100
100 ÷ 10 = 10
Height of trapezoid: 10 In.²
Check:
Formula for area of trapezoid (using height): A = (B1 + B2 / 2) · h
Base1: 3, Base2: 7
7 + 3 = 10
10 ÷ 2 = 5
5 · 10 = 50
Area = 50, therefore we know that our height is correct.
