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 - Challenge Me

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

Tala's quilt patch is a parallelogram with an area of 1/2 square foot and a base of 3/4 ft. It is the coziest patch. What is its height in feet?
Zee's window pane is a parallelogram with an area of 5/8 square foot and a base of 5/6 ft. Birds wave through it. What is its height in feet?
Bo's lawn is a trapezoid with area 27.3 square meters, height 4.2 m and top side 4.5 m. Picnics happen here. How long is its bottom side in meters?
Esme's name tag is a trapezoid with area 19.2 square cm, height 3.2 cm and top side 4.5 cm. It is extra sparkly. How long is its bottom side in cm?
Jun's window pane is a trapezoid with area 5.1 square feet, height 1.5 ft and top side 2.4 ft. It glows at sunset. How long is its bottom side in feet?
Milo's paper diamond is a rhombus with an area of 8.4 square inches. One diagonal is 3.5 in. It twirls in the breeze. How long is the other diagonal in inches?
Noah's lawn is a trapezoid: parallel sides 6.5 m and 3.5 m, height 4 m. Each square meter needs 30 g of grass seed. Birds, look away. How many grams of seed does it need?
Pia's flower bed is a trapezoid: parallel sides 4.4 m and 2.6 m, height 2.4 m. Each square meter needs 2.5 liters of water. Daisies are thirsty. How many liters does it need?
Ren's mural is a trapezoid: parallel sides 5 m and 3 m, height 1.5 m. Each square meter needs 0.2 liters of paint. It shows a whale. How many liters of paint does it need?
Ari's quilt patch is a parallelogram with base 4.5 in and height 2 in. Each square inch needs 12 sequins. It will sparkle a lot. How many sequins does it need?

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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