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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

Respuesta :

meerkat18
Get the perimeter of the each shape and add it all up to get the total fencing material required.

2 square flower beds = 2 x 4a = 8a
1 rectangular play ground = 2l + 2w 

total fencing material = 8a + 2l + 2w

The total fencing material required to surround the playground and flower beds will be 8a + 2l + 2w.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

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.

The total fencing material required to surround the playground and flower beds will be

P = 2(perimeter of square) + perimeter of rectangle

Then the perimeter of the square will be

⇒ 4a

Then the perimeter of the rectangle will be

⇒ 2(l + w)

Then we have

P = 2 × 4a + 2(l + w)

P = 8a + 2l + 2w

More about the geometry link is given below.

https://brainly.com/question/7558603

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