Question

The area of a square is given by x to the seond power, where x is the length of one side. Mary's original garden was in the shape of a square. She has decided to double the area of her garden.

Answer 1

Question:

The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She has decided to double the area of her garden. Write an expression that represents the area of Mary's new garden. Evaluate the expression if the side length of Mary's origanal garden was 8 feet

Answer:

`\text{The expression that represents area of Mary's new garden is } 2x^2`

`\text{ The area of mary new garden is 128 square feet }`

Solution:

The given expression for area of square is:

`Area = x^2`

Where, "x" is the length of one side

Mary's original garden was in the shape of a square

She has decided to double the area of her garden

So the new area of Mary's garden will be 2 times the area of original garden

`\text{Area of Mary's new garden}=2x^(2)`

Given that,

Side length of Mary's origanal garden was 8 feet

Substitute x = 8 in area of new garden

`\text{Area of Mary's new garden}=2(8)^(2)\\\\\text{Area of Mary's new garden}= 2 * 64 = 128`

Thus area of mary new garden is 128 square feet