A trapizoid has a area of 50 square inches. The bases are 3 inches and 7 inches. What is the height of the trapizoid?

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.

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