Question

ugh no body knows this? Suppose a square garden represented by 16x2 ft2. a. What is the length of each side? b. What is the perimeter of the garden? c. If each side was increased by 5 feet what would be the new perimeter?

Answer 1

A.
`4x`

B.
`16x`

C.
`16x+20`

Explanation:

A square's area will be the length of each side squared (that's why it's called squared).

Since we know the area, we can find the square root of
`16x^2` to find the length of each side.

We know that
`4^2 = 16` and
`x^2 = x^2`, so
`4x\cdot 4x` should be equal to
`16x^2`.

This means the side length is
`4x`.

The perimeter of a square will be 4 times it's side length. We know the side length, so the perimeter is
`4x \cdot 4 = 16x`.

If we added 5 to the length of each side, the new side length would be
`4x + 5`. Again, the perimeter is 4 times the side length so the perimeter would be
`4(4x + 5) = 16x + 20`.

Hope this helped!