Question

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

Answer 1

37.5 in^2

Step-by-step 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=((5+10))/(2)*5=(15)/(2)*5=(75)/(2)=37.5\text{ in}^2`

So the area of the figure is 37.5 in^2