A woman is looking for a bigger square office. She finds an office twice the area of her current office. If the perimeter of her current office is 88 feet, how many square feet is the new office?

Question

Mathematics

Mercedes Hawkins

15 April, 08:33

A woman is looking for a bigger square office. She finds an office twice the area of her current office. If the perimeter of her current office is 88 feet, how many square feet is the new office?

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Answers (2)

Know the Answer?

Ronan · Answer 1

88*2=176this is the answer

Darion Hayes · Answer 2

The area of the new office = 968 square feet.

Step-by-step explanation:

Given: A woman is looking for a bigger square office. She finds an office twice the area of her current office.

Let "x" be the side of length of the current office. Which is in shape of square.

A square has four sides and all the sides are in equal measure.

Perimeter of the current office = 4x

Given: Perimeter = 88 feet

Now let's find the side of the current office.

88 = 4x

Divided both sides, we get

4x/4 = 88/4

x = 22 feet.

So the side of the current office is 22 feet.

Now let's find the area of the current office = side * side

= 22*22

The area of the current office = 484 square feet.

We need to find the area of the new office, which is twice the area of the current office."

The area (square feet) of the new office = 2*484 = 968 square feet.