The area of rectangle ABDE is 270 square inches. The rectangle is rotated about a line that passes through points C and F. Rectangle A B D E has an area of 270 square inches. Point C is the midpoint of side D B and point F is the midpoint of side E A. The length of B A is 15 inches. Which best describes the resulting three-dimensional shape? a rectangular prism with an edge length of 9 inches a rectangular prism with an edge length of 18 inches a cylinder with a base radius of 9 inches a cylinder with a base radius of 18 inches

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Answer:

The answer is C : a cylinder with a base radius of 9 inches

Step-by-step explanation:

The area is 270² inches,  and to find the area of a rectangle is width × length . So the equation would be 270 = W × L, which would convert to 270 = W × 15 and 15 times 18 equals 270. But that is not thew answer because you would need top find the radius of the cylinder which is half of the width of the rectangle which means the radius is 9. So the answer is a cylinder with a base radius of 9 inches.

The resulting three dimensional shape is a cylinder with base radius 9 inches. Option c is correct.


A rectangle ABDE is given with area 270 inches and side AB =15 inches.
This rectangle is rotated about a line passes C and F where C and F is mid points of BD and EA respectively. The shape formed to be determine.


What is 3D?

3D or three dimensions is define as when an object is an arbitrary space that its measure obtains on x, y and z axes.

Here,
Area of rectangle ABDE = 270
AB x BD = 270
15 x BD =270
BD = 270/15
BD = 18
Now C is mid point of BD so BC = 18/2
BC = 9
When the given rectangle rotate about CF the new 3d shape arise will  be a cylinder with radius 9 inches.


Thus, the resulting three dimensional shape is a cylinder with base radius 9 inches.

Learn more about 3D here:
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