Area of parallelograms, trapezoids and rhombuses
Grade 7 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
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?
Grid, each square 0.2 m by 0.2 m. Parallelogram: base 2.4 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. The right triangle at the left end (1.2 wide, 1.6 tall) is outlined, and an arrow slides it to the right end, making a rectangle 2.4 by 1.6. Grid, each square 0.2 m by 0.2 m. Parallelogram: base 2.4 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. The right triangle at the left end (1.2 wide, 1.6 tall) is outlined, and an arrow slides it to the right end, making a rectangle 2.4 by 1.6. Grid, each square 0.2 m by 0.2 m 2.4 m 2 m 2 m 1.6 m 1.2 m 2.4 m 1.6 m rectangle 2.4 by 1.6 Kira's paper cut-out is a parallelogram: base 5.5 cm, height 4 cm. Sliding a cut-off triangle across makes a rectangle. The scissors need a nap. What is its area in square cm?
Grid, each square 0.5 cm by 0.5 cm. Parallelogram: base 5.5 cm along the bottom; the top side starts 3 cm to the right; slanted sides 5 cm; dashed height 4 cm straight up from the base. The right triangle at the left end (3 wide, 4 tall) is outlined, and an arrow slides it to the right end, making a rectangle 5.5 by 4. Grid, each square 0.5 cm by 0.5 cm. Parallelogram: base 5.5 cm along the bottom; the top side starts 3 cm to the right; slanted sides 5 cm; dashed height 4 cm straight up from the base. The right triangle at the left end (3 wide, 4 tall) is outlined, and an arrow slides it to the right end, making a rectangle 5.5 by 4. 5.5 cm 5 cm 5 cm 4 cm 3 cm 5.5 cm 4 cm Milo's garden plot is a trapezoid: parallel sides 4.5 m and 2.5 m, height 1.5 m. Two copies fit into a rectangle. The carrots wait patiently. What is its area in square meters?
Grid, each square 0.5 m by 0.5 m. Trapezoid: bottom side 4.5 m, top side 2.5 m, left side straight up (1.5 m, the height), right side slanted (2.5 m). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 7 m wide and 1.5 m tall. Grid, each square 0.5 m by 0.5 m. Trapezoid: bottom side 4.5 m, top side 2.5 m, left side straight up (1.5 m, the height), right side slanted (2.5 m). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 7 m wide and 1.5 m tall. Grid, each square 0.5 m by 0.5 m 4.5 m 2.5 m 1.5 m, the height 2.5 m rectangle 7 m wide and 1.5 m tall second copy, turned upside down 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?
Grid, each square 0.5 m by 0.5 m. Trapezoid: bottom side 4.5 m, top side 1.5 m, left side straight up (4 m, the height), right side slanted (5 m). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 6 m wide and 4 m tall. Grid, each square 0.5 m by 0.5 m. Trapezoid: bottom side 4.5 m, top side 1.5 m, left side straight up (4 m, the height), right side slanted (5 m). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 6 m wide and 4 m tall. 4.5 m 1.5 m 4 m 5 m 6 m wide 4 m tall 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?
Grid, each square 0.5 in by 0.5 in. Trapezoid: bottom side 5.5 in, top side 3 in, left side straight up (6 in, the height), right side slanted (6.5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 8.5 in wide and 6 in tall. Grid, each square 0.5 in by 0.5 in. Trapezoid: bottom side 5.5 in, top side 3 in, left side straight up (6 in, the height), right side slanted (6.5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 8.5 in wide and 6 in tall. 5.5 in 3 in 6 in 6.5 in 8.5 in 6 in A second copy, turned upside down, fits against the slanted side. Not to scale. 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?
Grid, each square 0.5 ft by 0.5 ft. Trapezoid: bottom side 5.5 ft, top side 3.5 ft, left side straight up (1.5 ft, the height), right side slanted (2.5 ft). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 9 ft wide and 1.5 ft tall. Grid, each square 0.5 ft by 0.5 ft. Trapezoid: bottom side 5.5 ft, top side 3.5 ft, left side straight up (1.5 ft, the height), right side slanted (2.5 ft). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 9 ft wide and 1.5 ft tall. Grid, each square 0.5 ft by 0.5 ft. Trapezoid and a second copy turned upside down. 5.5 ft 3.5 ft 1.5 ft, the height 2.5 ft 9 ft wide 1.5 ft tall 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?
Grid, each square 0.2 m by 0.2 m. Rhombus with dashed diagonals 0.6 m across and 0.8 m up, crossing at their middles; each side is 0.5 m. The rectangle 0.6 m by 0.8 m through its four corners is outlined, and the four corner triangles outside the rhombus are shaded. Grid, each square 0.2 m by 0.2 m. Rhombus with dashed diagonals 0.6 m across and 0.8 m up, crossing at their middles; each side is 0.5 m. The rectangle 0.6 m by 0.8 m through its four corners is outlined, and the four corner triangles outside the rhombus are shaded. Grid: each square 0.2 m by 0.2 m 0.5 m 0.5 m 0.5 m 0.5 m 0.6 m across 0.8 m up Bo's quilt patch is a rhombus with diagonals 9 in and 12 in. The picture draws the rectangle around it. Even the cat likes it. What is its area in square inches?
Grid, each square 1 in by 1 in. Rhombus with dashed diagonals 9 in across and 12 in up, crossing at their middles; each side is 7.5 in. The rectangle 9 in by 12 in through its four corners is outlined, and the four corner triangles outside the rhombus are shaded. Grid, each square 1 in by 1 in. Rhombus with dashed diagonals 9 in across and 12 in up, crossing at their middles; each side is 7.5 in. The rectangle 9 in by 12 in through its four corners is outlined, and the four corner triangles outside the rhombus are shaded. Grid, each square 1 in by 1 in 7.5 in 9 in across 12 in up 9 in 12 in Read this first
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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?