Question

The area of a square is given by 2 to the second power where X is the length of one side Mary's original Garden was in the shape of a square she decided to double the area of her garden write an expression that represents the area of Mary's New Garden Elevate the expression if the side lengths of Mary's original garden was 8 ft

Answer 1

• new garden area = 2x^2

• new side length = 8√2 ft

Explanation:

We are given that the area of a square of side x is ...

A = x^2

We want to double that area, so we can multiply by 2:

2A = 2x^2

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The original formula tells us that the side length x is the square root of the area:

√A = x . . . . . square root of original formula

Then the side length of the square with doubled area will be

new side length = √(new area) = √(2x^2) = x√2

For an original side length of 8 ft, the new side length will be ...

new side length = (8 ft)√2 = 8√2 ft.