Question

A trapezoid has a height of 3 meters, a base length of 8 meters, and an area of 30 square meters. What is the length of the base?

Answer 1

Answer:

Length of the second base will be 12 meters.

Step-by-step explanation:

Area of a trapezoid is given by the formula,

Area = $\frac{1}{2}(b_1+b_2)h$

Here, b₁ and b₂ are the bases of the trapezoid and 'h' is the vertical distance between the bases.

By substituting the values in the formula,

$30=\frac{1}{2}(8+b_2)3$

$60=3(8+b_2)$

$20=8+b_2$

$b_2=12$

Therefore, length of the second base will be 12 meters.