Question

The park district is paying to enlarge the area of a square-shaped dock at a local lake. The area of the dock will increase by 16 square feet. Complete the equation below that can be used to find the area, x, of the original dock if the side length of the new dock is 20 feet.

So, the square root of what (?) equals(=) 20

Answer 1

The complete equation ⇒ The square root of ( x + 16 ) = 20

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Explanation:

Dock has a shape of square.

the side length of the new dock is 20 feet

So, The area of the new dock = 20 * 20

∴ The square root of (new area )= 20

∵ New area = original area + incremented area

∴ The square root of ( original area + incremented area) =20

But the area of the original dock = x

And, The area of the dock will increase by 16 square feet

∴ The square root of ( x + 16 ) = 20