Area and Perimeter Test

Elijah has a rectangular garden. If the length of the garden is 'l' meters and the width is 'w' meters, what is the formula to calculate the area of Elijah's garden?

• length + width

• 2 * (length + width)

• length * width

• length / width

Answer explanation

The formula to calculate the area of Elijah's garden is length * width. This formula multiplies the length and width of the garden to find the total area.

Tags

7.9(C)

7.11(C)

Serenity is making a rectangular garden in her backyard. If the length of the garden is 5 cm and the width is 3 cm, what is the area of her garden?

• 15 cm²

• 8 cm²

• 20 cm²

• 10 cm²

Answer explanation

The area of a rectangle is calculated by multiplying its length and width. In this case, the length is 5 cm and the width is 3 cm, so the area is 15 cm². Therefore, the correct answer is 15 cm².

Tags

7.9(C)

7.11(C)

Josiah has a square garden. How can Elijah find the total length of the fence around Josiah's garden?

• 2 times the length of one side of the garden

• The sum of all four sides of the garden

• The square of the length of one side of the garden

• 4 times the length of one side of the garden

Answer explanation

To find the total length of the fence, multiply the length of one side by 4. Therefore, the correct choice is '4 times the length of one side of the garden'.

Tags

7.9(C)

7.11(C)

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)

Josiah and Elijah are helping their friend Eli to build a kite. They decided to make the kite in the shape of a triangle. If the base of the kite is 'b' and the height is 'h,' what is the formula they should use to determine the area of the kite?

• (base * height) / 2

• base - height

• base * height

• base + height

Answer explanation

The formula to determine the area of the kite is (base * height) / 2. This formula is used because the area of a triangle is calculated by multiplying the base and height and dividing the result by 2.

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)

Aliana is making a pentagon-shaped necklace, with each side measuring 3 cm. What would be the total length of the necklace?

• 8 cm

• 10 cm

• 15 cm

• 20 cm

Answer explanation

The total length of the necklace can be found by multiplying the length of one side by the number of sides. In this case, 3 cm x 5 sides = 15 cm. Therefore, the correct answer is 15 cm.

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)