Find the area of a trapezoid that has a perimeter of 46, a base length of 13, another base length of 5, and a non-base length of 10. The height of the trapezoid is 9. What is the trapezoid’s area?

Answer 1

To find the area of the trapezoid, we can use the formula:

Area = (1/2) * (base1 + base2) * height

Given that the perimeter of the trapezoid is 46, we can calculate the other two side lengths:

Perimeter = 46
13 + 5 + 10 + x = 46
28 + x = 46
x = 18

Now we have the side lengths of the trapezoid:

Base1 = 13
Base2 = 5
Non-base side = 10
Height = 9

Now we can plug these values into the formula to find the area:

Area = (1/2) * (13 + 5) * 9
Area = (1/2) * 18 * 9
Area = 9 * 9
Area = 81

Therefore, the area of the trapezoid is 81 square units.