Math  /  Geometry

QuestionA trapezoid has base lengths of 4 feet and 19 feet, and an area of 115 square feet. What is the height of the trapezoid?

Studdy Solution
Solve for the height h h :
First, simplify the expression inside the parentheses:
115=12×23×h 115 = \frac{1}{2} \times 23 \times h
Multiply both sides by 2 2 to eliminate the fraction:
230=23×h 230 = 23 \times h
Divide both sides by 23 23 to solve for h h :
h=23023 h = \frac{230}{23}
Calculate the division:
h=10 h = 10
The height of the trapezoid is:
10 feet \boxed{10 \text{ feet}}

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