9.1 Area & Perimeter

Determine the perimeter of a square with side length 12 units.

• 36 units

• 60 units

• 24 units

• 48 units

Answer explanation

To find the perimeter of a square, multiply the side length by 4. Therefore, 12 units x 4 = 48 units. Hence, the correct answer is 48 units.

Find the area of a triangle with base 6 units and height 9 units.

• 36 square units

• 15 square units

• 45 square units

• 27 square units

Answer explanation

The area of a triangle is calculated using the formula: (base * height) / 2. Substituting the values, we get (6 * 9) / 2 = 27 square units. Therefore, the correct answer is 27 square units.

Calculate the perimeter of a regular hexagon with each side measuring 4 units.

• 24

• 20

• 28

• 16

Answer explanation

The perimeter of a regular hexagon is calculated by multiplying the length of one side by 6. In this case, with each side measuring 4 units, the perimeter is 4 * 6 = 24 units. Therefore, the correct answer is 24.

Find the missing side length of a rectangle with area 45 square units and width 5 units.

• 15

• 7

• 10

• 9

Answer explanation

To find the missing side length of a rectangle, divide the area by the given width. In this case, 45 / 5 = 9. Therefore, the missing side length is 9 units.

Determine the perimeter of a parallelogram with base 10 units and side length 7 units.

• 17 units

• 24 units

• 34 units

• 42 units

Answer explanation

The perimeter of a parallelogram is calculated by adding all four sides. In this case, with a base of 10 units and two sides of 7 units each, the perimeter is 10 + 7 + 7 + 10 = 34 units.

Calculate the area of a trapezoid with bases measuring 4 units and 8 units, and height 5 units.

• 20 square units

• 35 square units

• 30 square units

• 12 square units

Answer explanation

The formula for the area of a trapezoid is (1/2) * (sum of bases) * height. Substituting the values, we get (1/2) * (4 + 8) * 5 = 30 square units. Therefore, the correct answer is 30 square units.

Find the perimeter of a regular pentagon with each side measuring 6 units.

• 25 units

• 36 units

• 40 units

• 30 units

Answer explanation

The perimeter of a regular pentagon is calculated by multiplying the length of one side by 5. Therefore, 6 units * 5 = 30 units. Hence, the correct answer is 30 units.

Calculate the area of a rhombus with diagonals of lengths 10 units and 12 units.

• 50 square units

• 60 square units

• 120 square units

• 100 square units

Answer explanation

The area of a rhombus can be calculated using the formula: (d1 * d2) / 2, where d1 and d2 are the diagonals. Substituting the values, we get (10 * 12) / 2 = 60 square units. Therefore, the correct answer is 60 square units.

Determine the perimeter of a triangle with side lengths 7 units, 10 units, and 12 units.

• 29 units

• 35 units

• 31 units

• 24 units

Answer explanation

To find the perimeter of a triangle, add the lengths of all three sides. In this case, 7 + 10 + 12 = 29 units. Therefore, the correct answer is 29 units.

Find the missing side length of a square with area 64 square units.

• 4

• 16

• 8

• 12

Answer explanation

To find the side length of a square with area 64, take the square root of 64 which is 8. Therefore, the missing side length is 8 units.