What is the area in square feet of a square 13 feet on each side?(1 point)

169 square feet

A rectangle is twice as long as it is tall. Its height is 5 centimeters. What is its area in square centimeters?

The length of the rectangle can be found by multiplying the height by 2:

Length = 2 x 5 cm = 10 cm

The area of a rectangle is found by multiplying the length by the height:

Area = Length x Height

Area = 10 cm x 5 cm

Area = 50 square centimeters

Therefore, the area of the rectangle is 50 square centimeters.

Use the formula for the area of a triangle to determine the area of a triangle with base equal to 13 yards and height equal to 5 yards.

The formula for the area of a triangle is:

Area = (1/2) x base x height

Substituting the given values, we get:

Area = (1/2) x 13 yards x 5 yards

Area = (1/2) x 65 yards^2

Area = 32.5 yards^2

Therefore, the area of the triangle is 32.5 square yards.

Marigold measures the length and height of a triangular sandwich. If the sandwich’s base measures 4 inches and its area measures 7 square inches, what is the height in inches of the sandwich? (1 point)

The formula for the area of a triangle is:

Area = (1/2) x base x height

We are given that the base of the sandwich is 4 inches and its area is 7 square inches. Substituting these values into the formula, we get:

7 square inches = (1/2) x 4 inches x height

Multiplying both sides by 2, we get:

14 square inches = 4 inches x height

Dividing both sides by 4 inches, we get:

height = 3.5 inches

Therefore, the height of the sandwich is 3.5 inches.

Area of Rectangles & Triangles Quick Check

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Question
Use the image to answer the question.

An illustration shows a triangle with a base of 20 inches and a perpendicular height of 6 inches. The height is a dashed line from the top vertex to the base, splitting the triangle in half, thus forming two triangles. A right angle symbol is shown where the dashed line meets the base, on the right side.

What is the area of the triangle shown?

The area of a triangle is given by the formula:

Area = (1/2) x base x height

In this case, the base has a length of 20 inches and the height (which is perpendicular to the base) has a length of 6 inches. Therefore, we can substitute these values into the formula:

Area = (1/2) x 20 inches x 6 inches

Area = 60 square inches

Therefore, the area of the triangle is 60 square inches.

An illustration shows a triangle with a base of 20 inches and a perpendicular height of 6 inches. The height is a dashed line from the top vertex to the base, splitting the triangle in half, thus forming two triangles. A right angle symbol is shown where the dashed line meets the base, on the right side.

What is the area of the triangle shown?