Use the image to answer the question.
An illustration shows a triangle with three vertical cylinders at its base placed at equal distance. The base of the triangle is 22 feet and distance from the vertex to the base of the triangle is represented by a dotted line which is 6 feet.
The triangle in the picture shows the top of the entrance to a classical building. How would you write an equation to find the area of this triangle?
(1 point)
ft.2
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To find the area of the triangle, you would use the formula for the area of a triangle which is 1/2 * base * height.
In this case, the base of the triangle is 22 feet and the distance from the vertex to the base (height) is 6 feet.
Therefore, the equation to find the area of this triangle would be:
Area = 1/2 * 22 feet * 6 feet
Area = 66 square feet
Use the image to answer the question.
An illustration shows a purse made with a trapezium at the bottom and half loop at the top. The base of the trapezium is 25 centimeters, the upper side is of 15 centimeters and the distance between parallel sides is 13 centimeters.
The picture shows the front panel of a handbag. Substitute the values shown into the formula for the area of a trapezoid to create an equation that can be used to find the area of the front of the handbag. What is the equation?
(1 point)
cm2
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page 13 of 14
The formula for the area of a trapezoid is:
Area = (1/2) * (base1 + base2) * height
In this case, the bases of the trapezium are 25 cm and 15 cm, and the height (distance between the bases) is 13 cm.
Substitute the values into the formula to create the equation:
Area = (1/2) * (25 cm + 15 cm) * 13 cm
Area = (1/2) * 40 cm * 13 cm
Area = 20 cm * 13 cm
Area = 260 cm^2
Therefore, the equation to find the area of the front of the handbag is:
Area = 260 cm^2
Use the image to answer the question.
An illustration shows a rectangular prism with a length of 6 inches, a width of 4 inches, and a height of 3 inches.
The picture shows the dimensions of a brick. Substitute the values shown into the formula for the volume of a rectangular prism to create an equation that can be used to find the volume of the brick. What is the equation?
(1 point)
in.3
The formula for the volume of a rectangular prism is:
Volume = length * width * height
In this case, the length of the prism is 6 inches, the width is 4 inches, and the height is 3 inches.
Substitute the values into the formula to create the equation:
Volume = 6 inches * 4 inches * 3 inches
Volume = 72 cubic inches
Therefore, the equation to find the volume of the brick is:
Volume = 72 cubic inches
Use the image to answer the question.
An illustration shows a triangle. The base measures 13 centimeters The vertical height is indicated by a dashed perpendicular line from the top vertex to the base and measures 14 centimeters.
Write and solve an equation to find the area of the triangle. What is its area?
(1 point)
cm2
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To find the area of a triangle, you can use the formula:
Area = 1/2 * base * height
In this case, the base of the triangle is 13 cm and the height is 14 cm.
Substitute these values into the formula:
Area = 1/2 * 13 cm * 14 cm
Area = 91 cm^2
Therefore, the area of the triangle is 91 cm^2.
Use the image to answer the question.
An illustration shows a rectangular prism. The length measures 6 inches, the width meaasures 2 inches, and the height measures 11 inches.
Write and solve an equation to find the volume of the box. What is its volume?
(1 point)
in.3
To find the volume of a rectangular prism, you can use the formula:
Volume = length * width * height
In this case, the length of the prism is 6 inches, the width is 2 inches, and the height is 11 inches.
Substitute these values into the formula:
Volume = 6 inches * 2 inches * 11 inches
Volume = 132 cubic inches
Therefore, the volume of the rectangular prism is 132 cubic inches.