Home > CC2 > Chapter 6 > Lesson 6.2.3 > Problem6-91

6-91.

Set up a four quadrant graph and graph the points below to make the four-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 four-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?

1. 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 the Math Notes box in Lesson 1.1.2 for extra help to calculate the area of the trapezoid.

$A=\frac{1}{2}(\text{base}_1+\text{base}_2)(\text{height})$

Explore the problem with the eTool below.
Click the link at right for the full version of the eTool: 6-91 HW eTool (Desmos)