A rectangular tabletop has an area of 1,512 square inches. The length of the tabletop is 18 inches. Write and solve an equation to find the width of the tabletop. Show your work.(2 points)
Let the width of the tabletop be represented by "w".
The formula for the area of a rectangle is: Area = Length x Width
Given that the area of the tabletop is 1,512 square inches and the length is 18 inches:
1,512 = 18w
Now, solve for w:
w = 1,512 / 18
w = 84
Therefore, the width of the tabletop is 84 inches.
A rectangular poster has a length of 72 centimeters and a width of 15 centimeters. The poster is reduced in size by 6 centimeters in length and 3 centimeters in width. What is the area of the new poster?(1 point)
Original area of the poster = Length x Width = 72 cm x 15 cm = 1080 square cm
New length = 72 cm - 6 cm = 66 cm
New width = 15 cm - 3 cm = 12 cm
Area of the new poster = New length x New width = 66 cm x 12 cm = 792 square cm
Therefore, the area of the new poster is 792 square cm.
A piece of paper is in the shape of a right triangle. The base is 4.25 inches and the height is 11 inches. What is the area of the right triangle in square inches? Do not round your answer.(1 point)
The formula to find the area of a right triangle is:
Area = (base * height) / 2
Given that the base is 4.25 inches and the height is 11 inches:
Area = (4.25 * 11) / 2
Area = 46.75 / 2
Area = 23.375 square inches
Therefore, the area of the right triangle is 23.375 square inches.
Use the image to answer the question.
An illustration shows a 5 by 9 grid labeled Triangle C. Triangle C is graphed on the grid.
Use decomposition and rearranging to model the area formula of triangle C . What is the area of triangle C in square units?(1 point)
Responses
10.5 units
10.5 units
21 square units
21 square units
10.5 cubic units
10.5 cubic units
10.5 square units
10.5 square units
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To calculate the area of Triangle C, we need to decompose it into simpler shapes and rearrange them to form a rectangle.
Given that Triangle C is on a 5 by 9 grid, it can be rearranged into a rectangle of dimensions 9 by 5. The area of a rectangle is given by the formula: Area = length x width.
Therefore, the area of Triangle C can be calculated as follows:
Area = 9 x 5 = 45 square units
Hence, the area of Triangle C in square units is 45 square units.
pick one of the answers
21 square units
4 of 154 of 15 Items
Question
Use the area of a triangle formula to find the area of a triangle with a base of 7 feet and a height of 14 feet.(1 point)
Responses
The area of the triangle is 98 square feet.
The area of the triangle is 98 square feet.
The area of the triangle is 21 square feet.
The area of the triangle is 21 square feet.
The area of the triangle is 49 square feet.
The area of the triangle is 49 square feet.
The area of the triangle is 196 square feet.