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City park is a square piece of land with an area of 10,000 square yards.Write and solve an equation to find the perimeter of the park.

Sagot :

The area of an square is given by:

[tex]A=l^2[/tex]

Where "A" is the area and "l" is the length of the side of the square. Using this we can find the length of the sides of the park.

[tex]\begin{gathered} 10000=l^2 \\ l=\sqrt{10000} \\ l=100 \end{gathered}[/tex]

The length of the sides is 100 yards. The perimeter of a square is given by:

[tex]P\text{ = 4}\cdot l[/tex]

Where P is the perimeter and l is the length of the sides, since we know the length of each side in this case we can calculate the perimeter.

[tex]P=4\cdot10000=40000[/tex]

The perimeter is 40,000 yards.