Question

Directions: Solve each of the following problems.

1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?

2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?

3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?

4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram?

5. What is the perimeter of a parallelogram with a base of 32 cm and side length of 34 cm?

6. What is the area of a parallelogram with a base of 40 mm and height of 18 mm?

7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle?

8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?

9. What is the area of a square with a perimeter of 44 mm?

10. What is the area of a square with a perimeter of 55 cm?

Answer 1

1. The area of the parallelogram can be calculated by multiplying the base by the height: 27.3 m * 6.3 m = 172.29 square meters.

2. The area of a rectangle can be calculated by multiplying the base by the height. In this case, the area is given as 420.92 mm^2 and the base is 27.4 mm. We can rearrange the formula to solve for the height: Height = Area / Base = 420.92 mm^2 / 27.4 mm = 15.36 mm.

3. The perimeter of a rectangle is calculated by adding up all the sides. In this case, the perimeter is given as 133.2 mm and the base length is 30.6 mm. Since a rectangle has two pairs of equal sides, we can divide the perimeter by 2 to get the sum of two adjacent sides: (133.2 mm / 2) - 30.6 mm = 35.1 mm. Since opposite sides of a rectangle are equal, the height is also 35.1 mm.

4. The area of the parallelogram can be calculated by multiplying the base by the height. In this case, the area is given as 645 m^2 and the base is 61 m. We can rearrange the formula to solve for the height: Height = Area / Base = 645 m^2 / 61 m = 10.57 m.

5. The perimeter of a parallelogram can be calculated by adding up all the sides. Since opposite sides of a parallelogram are equal in length, the perimeter is calculated as 2 times the sum of the base and side length: 2 * (32 cm + 34 cm) = 132 cm.

6. The area of the parallelogram can be calculated by multiplying the base by the height: 40 mm * 18 mm = 720 square millimeters.

7. The perimeter of a rectangle is calculated by adding up all the sides. In this case, the height is given as 8.8 m and the base is 7.9 m. We can calculate the perimeter as 2 times the sum of the height and base: 2 * (8.8 m + 7.9 m) = 34.2 meters.

8. The area of a rectangle can be calculated by multiplying the base by the height. In this case, the area is given as 354 cm^2 and the base is 23 cm. We can rearrange the formula to solve for the height: Height = Area / Base = 354 cm^2 / 23 cm = 15.39 cm.

9. The perimeter of a square is calculated by multiplying the length of one side by 4. In this case, the perimeter is given as 44 mm, so we can calculate the length of one side: 44 mm / 4 = 11 mm. Since all sides of a square are equal, the area is calculated by multiplying the length of one side by itself: 11 mm * 11 mm = 121 square millimeters.

10. The perimeter of a square is calculated by multiplying the length of one side by 4. In this case, the perimeter is given as 55 cm, so we can calculate the length of one side: 55 cm / 4 = 13.75 cm. Since all sides of a square are equal, the area is calculated by multiplying the length of one side by itself: 13.75 cm * 13.75 cm = 189.06 square centimeters.

Explanation: