### Home > CC3 > Chapter 10 > Lesson 10.1.1 > Problem10-14

10-14.

Find the area and perimeter of the shape below. Show your steps.

There are two ways to find the area: by using the equation for finding the area of a trapezoid, or by noticing that the shape is made up of a triangle and a rectangle.

To find the perimeter start by finding the hypotenuse of the triangle by using the Pythagorean Theorem.

Divide the shape into two portions and use two different equations for finding the area for each shape:

$\text{Triangle: Area }= \frac{1}{2}(\text{base)(height})$

Rectangle: Area = (base) (height)

$\text{Triangle: area}=\frac{1}{2}(10\text{m})(7.6\text{m})$
$\text{Rectangle: area}=(21.25\text{m})(7.6\text{m})$