Area of parallelograms, trapezoids and rhombuses
Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Pia's mural is a parallelogram with an area of 9.12 square meters and a base of 3.8 m. It shows a dancing robot. What is its height in meters?
Ren's garden bed is a parallelogram with an area of 10.5 square meters and a base of 4.2 m. The worms have big plans. What is its height in meters?
Sketch, not to scale, no grid. Parallelogram with base 4.2 m and a dashed height marked ?. Area 10.5 square meters. Sketch, not to scale, no grid. Parallelogram with base 4.2 m and a dashed height marked ?. Area 10.5 square meters. Sketch 4.2 m ? Area 10.5 square meters Not to scale. 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?
Sketch, not to scale, no grid. Parallelogram with base 3/4 ft and a dashed height marked ?. Area 1/2 square foot. Sketch, not to scale, no grid. Parallelogram with base 3/4 ft and a dashed height marked ?. Area 1/2 square foot. ? 3/4 ft Area 1/2 square foot Not to scale. 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?
Sketch, not to scale, no grid. Parallelogram with base 5/6 ft and a dashed height marked ?. Area 5/8 square foot. Sketch, not to scale, no grid. Parallelogram with base 5/6 ft and a dashed height marked ?. Area 5/8 square foot. 5/6 ft ? Area 5/8 square foot Not to scale. Ari's flower bed is a trapezoid with area 12.6 square meters, height 2.8 m and top side 3 m. The tulips line up. How long is its bottom side in meters?
Sketch, not to scale, no grid. Trapezoid: top side 3 m, bottom side marked ?, dashed height 2.8 m. Area 12.6 square meters. Sketch, not to scale, no grid. Trapezoid: top side 3 m, bottom side marked ?, dashed height 2.8 m. Area 12.6 square meters. Area 12.6 square meters 3 m ? 2.8 m Not to scale. 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?
Sketch, not to scale, no grid. Trapezoid: top side 4.5 m, bottom side marked ?, dashed height 4.2 m. Area 27.3 square meters. Sketch, not to scale, no grid. Trapezoid: top side 4.5 m, bottom side marked ?, dashed height 4.2 m. Area 27.3 square meters. 4.2 m ? 4.5 m Area 27.3 square meters Not to scale. 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?
Sketch, not to scale, no grid. Trapezoid: top side 4.5 cm, bottom side marked ?, dashed height 3.2 cm. Area 19.2 square cm. Sketch, not to scale, no grid. Trapezoid: top side 4.5 cm, bottom side marked ?, dashed height 3.2 cm. Area 19.2 square cm. 4.5 cm ? 3.2 cm 19.2 square cm Not to scale. Luz's paper diamond is a rhombus with an area of 13.5 square cm. One diagonal is 4.5 cm. It is a little sparkly. How long is the other diagonal in cm?
Sketch, not to scale, no grid. Rhombus with dashed diagonals: 4.5 cm across and ? up. Area 13.5 square cm. Sketch, not to scale, no grid. Rhombus with dashed diagonals: 4.5 cm across and ? up. Area 13.5 square cm. Sketch, not to scale 4.5 cm ? Area 13.5 square cm 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?
Sketch, not to scale, no grid. Rhombus with dashed diagonals: 3.5 in across and ? up. Area 8.4 square inches. Sketch, not to scale, no grid. Rhombus with dashed diagonals: 3.5 in across and ? up. Area 8.4 square inches. Area 8.4 square inches 3.5 in ? Not to scale. Zee's lawn is a parallelogram with base 8 m and height 2.8 m. Each square meter needs 35 g of grass seed. The birds are watching. How many grams of seed does it need?
Sketch, not to scale. Parallelogram: base 8 m along the bottom; the top side starts 2.1 m to the right; slanted sides 3.5 m; dashed height 2.8 m straight up from the base. Sketch, not to scale. Parallelogram: base 8 m along the bottom; the top side starts 2.1 m to the right; slanted sides 3.5 m; dashed height 2.8 m straight up from the base. 8 m 2.1 m 3.5 m 3.5 m 2.8 m Not to scale