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. 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. 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. 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?
Sketch, not to scale. Trapezoid: bottom side 4.4 m, top side 2.6 m, left side straight up (2.4 m, the height), right side slanted (3 m). Sketch, not to scale. Trapezoid: bottom side 4.4 m, top side 2.6 m, left side straight up (2.4 m, the height), right side slanted (3 m). 4.4 m 2.6 m 2.4 m 3 m Not to scale 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 Tala's garden bed is a parallelogram with base 3.5 m and height 1.6 m. Each square meter needs 4 liters of water. The beans say thanks. How many liters does it need?
Sketch, not to scale. Parallelogram: base 3.5 m along the bottom; the top side starts 1.2 m to the right; slanted sides 2 m; dashed height 1.6 m straight up from the base. Sketch, not to scale. Parallelogram: base 3.5 m along the bottom; the top side starts 1.2 m to the right; slanted sides 2 m; dashed height 1.6 m straight up from the base. 3.5 m 1.2 m 2 m 2 m 1.6 m 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 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.