Grade 10 · Math · Geometry

10th grade Perimeter and area of shapes on the coordinate plane worksheet

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Perimeter and area of shapes on the coordinate plane

Grade 10 Math Worksheet - Building Confidence

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

Jun draws a flag on a grid poster with corners C(-3, 2), D(5, 2) and F(1, 8). Each grid square is 1 meter. What is the area of triangle CDF, in square meters?
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?
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?
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?
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?
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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.
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?
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?
Bo plans a straight zip line on a grid map from C(-5, 3) to D(7, -2). Each grid square is 1 meter. How long is the zip line, in meters?
Esme plans a straight garden path on a grid map from C(1, -6) to D(4, -2). Each grid square is 1 meter. How long is the garden path, in meters?
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?

10th grade Perimeter and area of shapes on the coordinate plane worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Perimeter and area on the coordinate plane. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can find the area of a shape on the grid by cutting it into rectangles and triangles, or by subtracting corner pieces from a box.
I can use slopes and distances to prove what kind of quadrilateral I have, decide which fact is enough, find a missing step, and find the point that divides a segment in a ratio.
I can find a missing corner when I know the area.

Standard: G-GPE.B.7

Words to know

perimeter: The distance around a shape: all its sides added.

area: How many unit squares cover the inside.

run, rise: How far across and how far up a slanted side goes.

box: The smallest rectangle on grid lines around the shape.

corner piece: A right triangle between the shape and a corner of its box.

kite: Two pairs of equal sides next to each other.

Common mistakes

Multiplied base by height but left out the ½, so the answer is the whole rectangle around the triangle. Draw the rectangle and cut it along the diagonal together.

Used a point's y-coordinate as the triangle's height. The height is measured from the base line, not from the x-axis.

Subtracted the sizes of two coordinates on opposite sides of 0 instead of adding them. Count the squares from -3 to 5 together.

What to say

Ask: where does the base sit?

Questions parents ask

What is the most common mistake with perimeter and area of shapes on the coordinate plane?

Multiplied base by height but left out the ½, so the answer is the whole rectangle around the triangle. Draw the rectangle and cut it along the diagonal together.

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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