Copyright © by Holt, Rinehart and Winston



Practice A

Perimeter and Area in the Coordinate Plane

1. Tyneisha wants to estimate the area of the kids’ pool

at her local park. She sketches the pool in a coordinate

plane. Each square in the plane represents one square

yard. Estimate the area of the pool by counting each

whole square inside the figure as 1 square yard.

Then count the number of each half square as [pic] a square yard. _________________

2. Estimate the area of the irregular shape. _________________

Each square is one square unit.

Complete Exercises 3–7 to find the perimeter and

area of a polygon with vertices A(1, 2), B(2, −1),

C(−1, −2), and D(−2, 1).

3. Plot the points and draw the polygon.

4. Use the distance formula to find the lengths of the sides.

AB ’ ________ BC ’________ CD ’ ________ DA ’ ________

5. Tell what kind of polygon ABCD is. ______________________

6. Find the area. ______________________

7. Find the perimeter. ______________________

Complete Exercises 8–10 to find the area of a polygon

with vertices P(−2, 3), Q(−1, −1), R(2, 1), and S(1, 3).

8. Find the area of the square that surrounds

the shaded polygon.

9. Find the total area of the three triangles that are

outside the shaded polygon but inside the rectangle. ____________________

10. Subtract the area of the triangles from the area of the

square to find the area of the shaded polygon PQRS. ____________________

11. Find the area of the shaded polygon

with vertices W(−1, 3), X(3, 2),

Y(2, −2), and Z(−2, 1).

____________________

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