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QWhat is the ratio of the new area to the original area of the square if each side of the square is increased by 50%?

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#5325Q ID
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  • A 5: 4 ✔ ✖
  • B 2.25 : 1 ✔ ✖
  • C 4: 5 ✔ ✖
  • D 4: 7 ✔ ✖
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Explanation


The ratio between the new area and the original area of the square can be found by using the formula for the area of a square and the percentage increase in the side length.

The original area of the square is s^2, where s is the side length. After the side length is increased by 50%, the new side length is 1.5s.

The new area of the square is (1.5s)^2 = 2.25s^2.

To find the ratio between the new area and the original area, we divide the new area by the original area: 2.25s^2 / s^2 = 2.25.

Therefore, the ratio between the new area and the original area of the square can be represented as 2.25 : 1 which means for every 1 unit of original area, the new area is 2.25 unit.
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