Question

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.

Answer 1

The total fencing material required to surround the playground of length l and width w and 2 flower beds of side a is 2 ( l + b ) + 8a units.

What is perimeter of square or rectangle?

The perimeter of a two-dimensional shape is the total length of the outline.

Perimeter of rectangle = 2 ( l + b ).

Perimeter of square = 4 × side.

Given the length of the playground is l and its width is w and the length of each side of the flower beds is a.

The total fencing material required = perimeter of playground + 2 *                             Perimeter of flower bed.

                        =  2 ( l + w ) + 2 * 4a

                        = 2 ( l + w ) + 8a units.

Therefore, The total fencing material required to surround the playground and flower beds is 2 ( l + w ) + 8a units.

The question seems incomplete, its options could be:

1.  2 ( l + w ) + 8a
2.  2 ( l - w ) + 8a
3.  2 ( l + w ) + 4a
4.  2 ( l - w ) + 4a

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