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In the diagram shown at the right, a 2-foot-wide flower border surrounds the heart-shaped pond. What is the area of the border?

Picture included.

In the diagram shown at the right, a 2-foot-wide flower border surrounds the heart-example-1

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The area is 139.02 sq. ft.

This can be broken into two shapes: a 12 by 12 square and a circle with a diameter of 12. Adding the 2 ft border increases it to a 14 by 14 square and a circle with a radius of 16 (2 on each side).

With border:

Area of square = 14*14 = 196
Area of circle = 3.14(8*8) = 200.96

Together = 396.96

Without border:

Area of square = 12*12 = 144
Area of circle = 3.14(6*6) = 113.04

Together = 257.04

This is a difference of 396.96-257.04 = 139.02 sq. ft.
User Nidabdella
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