contestada

e. The volume of the first box is doubled and the volume of the second box is
tripled. Find the volume of the two boxes together.
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?

Respuesta :

Considering the area and the perimeter of a square, we have that:

a. The length of each side is of 4x.

b. The perimeter of the garden is of 16x.

c. The new perimeter would be of 16x + 20.

What are the area and the perimeter of a square?

For a square of side length s, we have that:

  • The area is A = s².
  • The perimeter is P = 4s.

For this problem, the area of the garden is 16x², hence the length of each side is found as follows:

s² = 16x²

s = sqrt(16x²)

s = 4x.

The length of each side is of 4x.

Then the perimeter of the garden as found as follows:

P = 4s = 4(4x) = 16x.

The perimeter of the garden is of 16x.

If each side was increased by 5 feet, the new side length would be of:

s = 4x + 5.

Hence the perimeter would be:

P = 4s = 4(4x + 5) = 16x + 20.

The new perimeter would be of 16x + 20.

More can be learned about the area and the perimeter of a square at https://brainly.com/question/25092270

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