Question

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

Answer 1

Let the rectangle with side as x and y.

Determine the area of the rectangle.

`\begin{gathered} A=x\cdot y \\ =xy \end{gathered}`

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

Determine the area of new rectangle.

`\begin{gathered} A^(\prime)=2x\cdot2y \\ =4xy \\ =4A \end{gathered}`

So new area is four times the previous rectangle.

Thus correct answer is option A quadruples.