The length of each side of a square increases by 40%. By what percent does the area of the square increase?

The area of the square increases by 96%

Step-by-step explanation:

Assume that the side of the square is x units

∵ The original side of the square = x

∵ The area of the square = side × side

∴ The original area of the square = x × x

∴ The original area of the square = x²

∵ The length of each side of a square increases by 40%

∴ The new side of the square = x + 40% × x

∴ The new side of the square = x + × x

∴ The new side of the square = x + 0.4x

∴ The new side of the square = 1.4x

→ Find the area of the new square

∴ The new area of the square = 1.4x × 1.4x

∴ The new area of the square = 1.96x²

→ Find the increase in the area

∵ The increase of area = new area - original area

∴ The increase of area = 1.96x² - x²

∴ The increase of area = 0.96x²

∵ The percentage of the increase = (increase ÷ original) × 100%

∴ The percentage of the increase in the area = × 100%

∴ The percentage of the increase in the area = 96%

∴ The area of the square increases by 96%

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step-by-step explanation:

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (