If a rectangle is drawn and another rectangle is drawn so that the sides are twice asbig as the first rectangle, what happens to the area? (remember k^2 for area)A.) quadruplesB.) doublesC.) triplesD.) not enoughInformation

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JantzenQ342878 JantzenQ342878 · Answer 1 · 2022-10-25T10:37:40+02:00

Let the rectangle with side as x and y.

Determine the area of the rectangle.

[tex]\begin{gathered} A=x\cdot y \\ =xy \end{gathered}[/tex]

The sides of the rectangle is increased by twice means that new sides are 2x and 2y.

Determine the area of new rectangle.

[tex]\begin{gathered} A^{\prime}=2x\cdot2y \\ =4xy \\ =4A \end{gathered}[/tex]

So new area is four times the previous rectangle.

Thus correct answer is option A quadruples.