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=(a+b)/(2)h.`

In the given question,

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

Therefore,

`50=(3+7)/(2)* h\\\\\\\Rightarrow 50=5h\\\\\Rightarrow h=10.`

Thus, the required height is 10 inches.