We can start by finding the area of the third rectangle in the net.
Let x be the third measurement we need to find. Then, we know that:
Area of first rectangle = 4 ft. x 3 ft. = 12 square feet
Area of second rectangle = 4 ft. x 3 ft. = 12 square feet
Area of third rectangle = x ft. multiplied by ? ft. (we don't know the length yet)
We know that the total area of the rectangular prism is 52 square feet, so we can set up an equation:
12 + 12 + x(?) = 52
Simplifying:
24 + x(?) = 52
x(?) = 28
To find the missing dimension, we need to divide 28 by the length of the third rectangle, which we don't know yet. However, we do know that the third rectangle shares a side with one of the other rectangles, which is 3 feet long.
So:
x(?) = 28
x(3 ft.) = 28
x = 28 ÷ 3
x ≈ 9.33 ft.
Therefore, the missing dimension of the rectangular prism is approximately 9.33 feet.
You are drawing a net that shows a rectangular prism with an area of 52 square feet. if the two of the rectangles in the net are 4 ft. x 3 ft what is the value of the third measurement you need to know to have an area of 52 square feet
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