### Home > MC2 > Chapter 3 > Lesson 3.1.5 > Problem3-53

3-53.

Set up a $4$-quadrant graph and graph the points below to make the $4$-sided shape $PQRS$. . $P(-2, 4)$ $Q(-2, -3)$ $R(2, -2)$ $S(2, 3)$

Plot the points $P, Q, R,$ and $S$ with their respective coordinates to form the $4$-sided shape.

1. What shape is $PQRS$ ?

Look closely at the shape created by the points. Do you notice any special characteristics about the shape?
Did you notice that it had a pair of parallel sides?

2. Find the area of the shape.

Consider the trapezoid as separate parts and visualize the parts reconstructed as a rectangle.
Try summing the area of the different pieces.

Use the formula below from Math Notes Box Lesson 3.1.1 for extra help to calculate the area of the trapezoid.
$A = \frac{1}{2} h(a + b)$

Explore the problem with the eTool below.
Click the link at right for the full version of the eTool: MC2 3-53 HW eTool