Question

Quadrilateral PQRSis graphed in the coordinate plane.

Answer 1

Answer:

33.6

Step-by-step explanation:

As we can see in the graph, the points:

• P is located at (-2, 8)
• Q is located at ( 6, 8)
• R( is located at (6, 2)
• S is located at (-5, 0)

To find a distance between two points or the length of the segment, we use the following formula:

$\sqrt{(x2-x1)^2+(y2-y1)^2}$

Because the two points P and Q are located at the same libe y = 8

=> the lenght of PQ = $\sqrt{(6- (-2))^{2} } = \sqrt{8^{2} } = 8$

Because the two points R and Q are located at the same libe x = 6

=>  the length of RQ = $\sqrt{(8-2)^{2} } = \sqrt{6^{2} } = 6$

The lenght of RS is: $\sqrt{(-5-6)^2+(0-2)^2} = \sqrt{-11^{2} +(-2)^{2} }$ = $\sqrt{125} = 11.1$

The lenght of SP is: $\sqrt{(-5-(-2))^2+(0-8)^2} = \sqrt{-3^{2} +(-8)^{2} } = \sqrt{73}$ = 8.5

=>  the perimeter of quadrilateral PQRS = PQ+RQ+RS+SP

= 8+6+11.1+8.5

= 33.6