Grade 7 · Math

7th grade Area of parallelograms, trapezoids and rhombuses worksheet

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Area of parallelograms, trapezoids and rhombuses

Grade 7 Math Worksheet

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

Kira's garden bed is a parallelogram with base 2.7 m, height 1.2 m and slanted sides 1.5 m. The beans are climbing fast. What is its area in square meters?
Luz's lawn is a parallelogram with base 4.5 m, height 2.8 m and slanted sides 3.5 m. It needs mowing already. What is its area in square meters?
Milo's quilt patch is a parallelogram with base 2/3 ft, height 1/3 ft and slanted sides 5/12 ft. It is the comfiest patch. What is its area in square feet?
Ren's lawn is a trapezoid: parallel sides 9.5 m and 6.5 m, height 4 m, slanted side 5 m. A robin keeps watch. What is its area in square meters?
Tala's name tag is a trapezoid: parallel sides 6.5 cm and 4 cm, height 2.4 cm, slanted sides 2.5 cm and 3 cm. It says hi. What is its area in square cm?
Ari's paper banner is a trapezoid: parallel sides 3 ft and 2 ft, height 3/4 ft, slanted side 5/4 ft. It says GO TEAM. What is its area in square feet?
Esme's name tag is a rhombus with diagonals 4.8 cm and 6.4 cm. Each side is 4 cm. It says hello in purple. What is its area in square cm?
Jun's flower bed is a rhombus with diagonals 4.2 m and 5.6 m. Each side is 3.5 m. The bees love its shape. What is its area in square meters?
9.
Kira's garden plot is a trapezoid: parallel sides 7 m and 2.5 m, height 6 m, slanted side 7.5 m. The radishes are ready. Which expression gives its area?
- (7 + 2.5) × 6
- (7 + 2.5) × 7.5 ÷ 2
- 7 × 6
- (7 + 2.5) × 6 ÷ 2
10.
Luz's name tag is a trapezoid: parallel sides 5 cm and 3.2 cm, height 2.4 cm, slanted side 3 cm. It has a smiley face on it. Which expression gives its area?
- 5 × 2.4
- (5 + 3.2) × 2.4
- (5 + 3.2) × 2.4 ÷ 2
- (5 + 3.2) × 3 ÷ 2

7th grade Area of parallelograms, trapezoids and rhombuses worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Area of parallelograms, trapezoids and rhombuses. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can turn a parallelogram, a trapezoid or a rhombus into a rectangle on a grid and find its area, even when the sides are fractions or decimals.
I can work back from an area to a missing height, side or diagonal.
I can use an area in a real problem: how much seed, water or paint a flat shape needs.

Standard: 7.G.B.6 (partial)

Words to know

parallelogram: A four-sided shape whose opposite sides are parallel, like a leaning rectangle.

trapezoid: A four-sided shape with one pair of parallel sides (the bases).

rhombus: A four-sided shape with all four sides the same length.

diagonal: A line from one corner to the opposite corner.

height: The straight-up distance between a base and the side or point across from it.

slanted side: A side that leans. It is longer than the height and is not used for area.

square meter (square foot …): The area of a square 1 meter (1 foot …) on each side.

Common mistakes

Your child used the slanted side where the height belongs. On grid paper, draw the height as a straight line up from the base, then cut and slide the shape into a rectangle together.

Your child halved the area of a parallelogram (or doubled it when working back), as if it were a triangle. Cut a paper parallelogram, slide the triangle across and see that it makes a whole rectangle.

Your child stopped at the rectangle and forgot that a trapezoid or rhombus is only half of it. Cut two paper copies of a trapezoid and fit them into a rectangle together.

Questions parents ask

What is the most common mistake with area of parallelograms, trapezoids and rhombuses?

Your child used the slanted side where the height belongs. On grid paper, draw the height as a straight line up from the base, then cut and slide the shape into a rectangle together.

Are these 7th 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.

More grade 7 math

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