Area of parallelograms, trapezoids and rhombuses

Answer Key - Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   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?

   2/3
2. 2.

   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?

   3/4
3. 3.

   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?

   8.5
4. 4.

   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?

   7.5
5. 5.

   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?

   4.4
6. 6.

   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?

   4.8
7. 7.

   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?

   600
8. 8.

   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?

   21
9. 9.

   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?

   1.2
10. 10.

    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?

    108