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Susy has a square plot of grass in her backyard. Each side of the plot has a length of 14.5 feet. On one side, a semicircular fountain with a radius of 2.5 feet cuts into the plot of grass. She wants to put a brick border around the edge of the grass, so that it will also separate the grass from the fountain.What is the approximate length of the brick border?



Answer :

Given:-

Susy has a square plot of grass in her backyard. Each side of the plot has a length of 14.5 feet. On one side, a semicircular fountain with a radius of 2.5 feet cuts into the plot of grass. She wants to put a brick border around the edge of the grass, so that it will also separate the grass from the fountain.

To find:-

What is the approximate length of the brick border?

The length of squares four sides is,

[tex]4\times14.5=58[/tex]

All four sides of square are equall,

[tex]58-(2.5\times2)=53[/tex]

Diameter of a circle is twice its radius,

[tex]\pi r=\pi2.5=7.85[/tex]

Formula of circumference is,

[tex]2\pi r[/tex]

So the length of brick is,

[tex]53+7.85=60.85[/tex]

So the approximate length is 60.85ft.

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