Question

40 multiple choice 2 points what effect would doubling the length of the sides have on the area of a square? the area would quadruple. the area would triple. the area would double. the area would stay the same.

Explanation:

Step1: Recall the area formula of a square

The area formula of a square is \(A = s^2\), where \(s\) is the side - length of the square.

Step2: Calculate the new area when the side - length is doubled

If the original side - length is \(s\), the new side - length is \(s_{new}=2s\). Then the new area \(A_{new}=(2s)^2\). Using the power of a product rule \((ab)^n=a^n\times b^n\), we have \(A_{new}=4s^2\).

Answer:

The area would quadruple.