Question

what is the area of the figure below if the short base is congruent to the dotted segment?

Answer 1

Answer:

37.5 in^2

Explanation:

Given:

To find:

The area of the trapezoid

We'll use the below formula to determine the area(A) of the given trapezoid;

$A=\frac{(sum\text{ of parallel sides\rparen}}{2}*h$

Length of short base of the trapezoid = 5 in

Length of long base of the trapezoid = 10 in

Height of the trapezoid(h) = length of short base = 5 in

Let's go ahead and substitute the given value into the equation and solve for A;

$A=\frac{(5+10)}{2}*5=\frac{15}{2}*5=\frac{75}{2}=37.5\text{ in}^2$

So the area of the figure is 37.5 in^2