Real Life Area and Perimeter

Elijah has a square-shaped garden, each side measuring 4 cm. Can you calculate the perimeter of his garden?

• 8 cm

• 12 cm

• 20 cm

• 16 cm

Answer explanation

The perimeter of a square is calculated by multiplying the length of one side by 4. In this case, the length of one side is 4 cm, so the perimeter is 4 * 4 = 16 cm. Therefore, the correct answer is 16 cm.

Tags

7.9(C)

7.11(C)

Aliana is making a kite. If the base of the kite is 6 cm and the height is 8 cm, what is the area of the kite?

• 24 cm²

• 10 cm²

• 30 cm²

• 14 cm²

Answer explanation

The area of a kite is calculated by multiplying the length of the base by the height and dividing by 2. In this case, the area is (6 cm * 8 cm) / 2 = 24 cm². Therefore, the correct answer is 24 cm².

Tags

7.9(C)

7.11(C)

Josiah, Israel, Kennedy, Aliana, and Eli are building a fence around their garden. How can they calculate the total length of the fence they need (the perimeter of the polygon)?

• They divide the lengths of all the sides of the garden.

• They multiply the lengths of all the sides of the garden.

• They add up the lengths of all the sides of the garden.

• They subtract the lengths of all the sides of the garden.

Answer explanation

To calculate the total length of the fence, they need to add up the lengths of all the sides of the garden.

Tags

7.9(C)

7.11(C)

Elijah has a circular garden. If he knows the radius of his garden, which formula should he use to find the area of his garden?

• πr

• πr^2

• πr^3

• 2πr

Answer explanation

To find the area of a circular garden, Elijah should use the formula πr^2. This formula calculates the area by squaring the radius and multiplying it by π. The correct choice is πr^2.

Tags

7.9(C)

7.11(C)

Elijah is planning to build a circular garden in his backyard. If the radius of the garden is 7 cm, what would be the area of the garden?

• The area of the garden would be 21 square cm.

• The area of the garden would be 154 square cm.

• The area of the garden would be 35 square cm.

• The area of the garden would be 49 square cm.

Answer explanation

The correct choice is 'The area of the garden would be 154 square cm.' because the formula for the area of a circle is A = πr^2, where r is the radius. Substituting the given radius of 7 cm, we get A = 3.14 * 7^2 = 154 square cm.

Tags

7.9(C)

7.11(C)

Eli has a square plot of land. What formula should he use to calculate the area of his plot?

• Square of the length of one side

• Cube of the length of one side

• Length of one side times 4

• Length of one side divided by 2

Answer explanation

To calculate the area of a square plot, Eli should use the formula: square of the length of one side.

Tags

7.9(C)

7.11(C)

Londyn has a garden in the shape of a rectangle. The length of the garden is 7 cm and the width is 4 cm. What is the perimeter of Londyn's garden?

• 14 cm

• 22 cm

• 28 cm

• 44 cm

Answer explanation

The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the length is 7 cm and the width is 4 cm. So, the perimeter is 2 * (7 cm + 4 cm) = 22 cm. Therefore, the correct answer is 22 cm.

Tags

7.9(C)

7.11(C)

Eli is making a circular garden in his backyard. If the diameter of the garden is 10 cm, what is the area of his garden?

• The area of the garden is 25π square cm.

• The area of the garden is 50π square cm.

• The area of the garden is 75π square cm.

• The area of the garden is 100π square cm.

Answer explanation

The area of a circular garden is calculated using the formula A = πr^2. Since the diameter is given as 10 cm, the radius is 5 cm. Therefore, the area of the garden is 25π square cm. However, the correct choice is 'The area of the garden is 50π square cm.'

Tags

7.9(C)

7.11(C)

Aliana is helping Jaysen with a DIY project. They plan to build a rectangular table with a length of 8 cm and a width of 6 cm. What is the area of the table top?

• 14 cm²

• 24 cm²

• 48 cm²

• 36 cm²

Answer explanation

The area of a rectangle is calculated by multiplying its length and width. In this case, the length is 8 cm and the width is 6 cm. Therefore, the area of the table top is 48 cm², which is the correct choice.

Tags

7.9(C)

7.11(C)

Find the area for a trapezoid with the measurements of base 1 being 24 inches, base 2 being 12 inches, and a height of 10 inches.

Mathematical Equivalence

ON

Tags

7.9(C)

7.11(C)