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
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.