Question

a trapezoid has an area of 50 square inches. The bases are 3 inches and 7 inches. What is the height of the trapezoid.

Answer 1

Answer: The answer is 10 inches.

Step-by-step explanation:  Given that the area of a trapezoid is 50 square inches and the bases are 3 inches and 7 inches. We are to find the height of the trapezoid.

We know that the area of a trapezoid with height 'h' and bases 'a' inches and 'b' inches is given by

$A=\dfrac{a+b}{2}h.$

In the given question,

a = 3 inches, b = 7 inches, A = 50 square inches, h = ?

Therefore,

$50=\dfrac{3+7}{2}\times h\\\\\\\Rightarrow 50=5h\\\\\Rightarrow h=10.$

Thus, the required height is 10 inches.