Perimeter and area of shapes on the coordinate plane

Answer Key - Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Kira draws a triangle garden bed on a grid plan with corners C(-6, -4), D(2, -4) and F(-1, 3). Each grid square is 1 meter. What is the area of triangle CDF, in square meters?

   28
2. 2.

   Luz draws a triangle sail on graph paper with corners C(1, -3), D(7, -3) and F(3, 6). Each grid square is 1 foot. What is the area of triangle CDF, in square feet?

   27
3. 3.

   Milo draws a triangle picnic area on a park map with corners C(-8, 1), D(-2, 1) and F(-5, 9). Each grid square is 1 meter. What is the area of triangle CDF, in square meters?

   24
4. 4.

   Noah draws a triangle rug design on graph paper with corners C(-4, 6), D(6, 6) and F(2, -3). Each grid square is 1 foot. What is the area of triangle CDF, in square feet?

   45
5. 5.

   Pia plans an L-shaped garden with corners C(-5, -4), D(4, -4), F(4, 0), G(-1, 0), H(-1, 6), Q(-5, 6). Each grid square is 1 meter. What is its area, in square meters?

   60
6. 6.

   Coordinate grid, each square 1 foot on a side; both axes run from negative ten to ten. Ren plans an L-shaped patio with corners C(-6, -5), D(6, -5), F(6, -1), G(-2, -1), H(-2, 7), Q(-6, 7). Each grid square is 1 foot. What is its area, in square feet?

   80

7. Read this first

   Use this

   Coordinate grid, each square 1 meter on a side; both axes run from negative ten to ten. The L-shaped playground CDFGHQ: every side runs along a grid line.

8. 7.

   Tala plans an L-shaped playground with corners C(1, 1), D(9, 1), F(9, 4), G(4, 4), H(4, 9), Q(1, 9). Each grid square is 1 meter. What is its area, in square meters?

   39
9. 8.

   Zee plans an L-shaped rug with corners C(-8, 2), D(2, 2), F(2, 5), G(-3, 5), H(-3, 10), Q(-8, 10). Each grid square is 1 foot. What is its area, in square feet?

   55
10. 9.

    Ari plans a straight fence on a grid map from C(-2, -1) to D(4, 7). Each grid square is 1 meter. How long is the fence, in meters?

    10
11. 10.

    Jun plans a straight bike trail on a grid map from C(-6, -7) to D(3, 5). Each grid square is 1 meter. How long is the bike trail, in meters?

    15