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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