In the diagram Shown a 2 foot wide flower border surrounds the heart shaped pond.What is the area of the border?

Accepted Solution

This figure is what we would call a composite figure. A composite figure is a shape that is made up of multiple other shapes. when looking at the pond and the border that surrounds it, we can see that this heart shape is made up of two semi circles and a square. To find the area of the border, we will use the area formulas for semi circles and for squares: 

Semi Circle Area Formula: [tex] \pi r^{2} [/tex] ÷ 2
Square Area Formula: length x width 

Pi = 3.14 
Radius = Half of the diameter, in this case 6 

After finding the area of each shape, we can subtract the 2 ft width to find the area of the flower bed border.