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 - Building Confidence

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Ari's garden bed is a parallelogram: base 4.5 m, height 1.5 m. Sliding a cut-off triangle across makes a rectangle. The worms are cheering. What is its area in square meters?
Bo's quilt patch is a parallelogram: base 6.5 in, height 4 in. Sliding a cut-off triangle across makes a rectangle. The cat already wants it. What is its area in square inches?
Esme's mural is a parallelogram: base 2.4 m, height 1.6 m. Sliding a cut-off triangle across makes a rectangle. It has a very happy sun. What is its area in square meters?
Luz's name tag is a trapezoid: parallel sides 5.5 cm and 2.5 cm, height 4 cm. Two copies fit into a rectangle. The glitter went everywhere. What is its area in square cm?
Noah's lawn is a trapezoid: parallel sides 4.5 m and 1.5 m, height 4 m. Two copies fit into a rectangle. A squirrel inspects it. What is its area in square meters?
Pia's quilt patch is a trapezoid: parallel sides 5.5 in and 3 in, height 6 in. Two copies fit into a rectangle. It is extra fluffy. What is its area in square inches?
Ren's flower bed is a trapezoid: parallel sides 5.5 ft and 3.5 ft, height 1.5 ft. Two copies fit into a rectangle. The bees are already busy. What is its area in square feet?
Tala's kite is a rhombus with diagonals 0.6 m and 0.8 m. The picture draws the rectangle around it. It loves windy days. What is its area in square meters?
Ari's garden bed is a rhombus with diagonals 2.4 m and 3.2 m. The picture draws the rectangle around it. The tomatoes are thrilled. What is its area in square meters?
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Grid, each square 1 in by 1 in. Rhombus with dashed diagonals 5 in across and 12 in up, crossing at their middles; each side is 6.5 in. The rectangle 5 in by 12 in through its four corners is outlined, and the four corner triangles outside the rhombus are shaded.
Esme's paper diamond is a rhombus with diagonals 5 in and 12 in. The picture draws the rectangle around it. It sparkles in the sun. What is its area in square inches?

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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