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. 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. 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. 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?
Sketch, not to scale, no grid. Trapezoid: top side 2.4 ft, bottom side marked ?, dashed height 1.5 ft. Area 5.1 square feet. Sketch, not to scale, no grid. Trapezoid: top side 2.4 ft, bottom side marked ?, dashed height 1.5 ft. Area 5.1 square feet. 1.5 ft 2.4 ft ? Area 5.1 square feet Not to scale. Kira's kite is a rhombus with an area of 0.72 square meters. One diagonal is 0.9 m. It has a long tail. How long is the other diagonal in meters?
Sketch, not to scale, no grid. Rhombus with dashed diagonals: 0.9 m across and ? up. Area 0.72 square meters. Sketch, not to scale, no grid. Rhombus with dashed diagonals: 0.9 m across and ? up. Area 0.72 square meters. Sketch, not to scale, no grid. Area 0.72 square meters. 0.9 m ? 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. 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?
Grid, each square 0.5 m by 0.5 m. Trapezoid: bottom side 6.5 m, top side 3.5 m, left side straight up (4 m, the height), right side slanted (5 m). Grid, each square 0.5 m by 0.5 m. Trapezoid: bottom side 6.5 m, top side 3.5 m, left side straight up (4 m, the height), right side slanted (5 m). 6.5 m 3.5 m 4 m 5 m 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?
Grid, each square 0.5 m by 0.5 m. Trapezoid: bottom side 5 m, top side 3 m, left side straight up (1.5 m, the height), right side slanted (2.5 m). Grid, each square 0.5 m by 0.5 m. Trapezoid: bottom side 5 m, top side 3 m, left side straight up (1.5 m, the height), right side slanted (2.5 m). 5 m 2.5 m 3 m 1.5 m 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?
Grid, each square 0.5 in by 0.5 in. Parallelogram: base 4.5 in along the bottom; the top side starts 1.5 in to the right; slanted sides 2.5 in; dashed height 2 in straight up from the base. Grid, each square 0.5 in by 0.5 in. Parallelogram: base 4.5 in along the bottom; the top side starts 1.5 in to the right; slanted sides 2.5 in; dashed height 2 in straight up from the base. 4.5 in 2.5 in 2.5 in 2 in Not to scale.