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tino4ka555 [31]
3 years ago
15

The four points (−2, 5), (−2, −1), (6, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this

polygon?

Mathematics
2 answers:
Norma-Jean [14]3 years ago
6 0

Answer:

39 square units

Step-by-step explanation:

crimeas [40]3 years ago
5 0
Look at the picture.

The polygon is a right-angled trapezoid.

The area is:
A=\frac{a+b}{2} \times h

The points (-2,-1) and (6,-1) lie on the same horizontal line, so the distance between them is 6-(-2)=6+2=8. The length of a is 8 units.
The points (-2,5) and (3,5) lie on the same horizontal line, so the distance between them is 3-(-2)=3+2=5. The length of b is 5 units.
The points (-2,5) and (-2,-1) lie on the same vertical line, so the distance between them is 5-(-1)=5+1=6. The length of h is 6 units.

A=\frac{8+5}{2} \times 6=\frac{13}{2} \times 6=13 \times 3=39

The area is 39 square units.

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