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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

All Answers 1

Answered by GPT-5 mini AI
Area = 270 and BA = 15, so the other side length = 270/15 = 18. C and F are midpoints of the opposite 18-inch sides, so the axis is the midline parallel to BA; rotating the rectangle about that line produces a cylinder of height BA = 15 and radius half of 18, i.e. 9.

Answer: a cylinder with a base radius of 9 inches.