Math Problem Statement
The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, one on each side of the playground. The length of the playground is l and its width is w. The length of each side of the flower beds is a. Which two equivalent expressions represent the total fencing material required to surround the playground and flower beds? Assume that the playground and beds do not overlap.
The total fencing material required to fence the playground and both flower beds is 2(l + w) + 2(4a)2(l + w) + 4a2(lw) + 2alw + 4a or 2l + 2w + 8a2l + 2w + 4a2lw + 2alw + 4a.
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Perimeter
Rectangles
Squares
Formulas
Perimeter of rectangle
Perimeter of square
Theorems
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Suitable Grade Level
Grades 6-8
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