Question

40 multiple choice 2 points what effect would doubling the length of the sides have on the area of a square?

Explanation:

Step1: Let the original side length of the square be \(a\).

The area of the original square \(A_1=a\times a = a^{2}\).

Step2: Double the side length.

The new side length is \(a_{new}=2a\). The area of the new square \(A_2=(2a)\times(2a)=4a^{2}\).

Step3: Find the ratio of the new area to the original area.

\(\frac{A_2}{A_1}=\frac{4a^{2}}{a^{2}} = 4\).

Answer:

The area of the square would be quadrupled (multiplied by 4).