Question

if the side lengths are doubled, then which of the following statements is true? the new area will be 2 times the old area. the new area will be 4 times the old area. the new area will be 9 times the old area. 4 ft

Explanation:

Step1: Recall area formula for square

The area formula for a square is $A = s^2$, where $s$ is the side - length.

Step2: Let original side - length be $s$

Original area $A_1=s^2$.

Step3: New side - length after doubling

If the side - length is doubled, the new side - length $s_2 = 2s$.

Step4: Calculate new area

The new area $A_2=(2s)^2=4s^2$.

Step5: Compare new and old areas

Since $A_2 = 4s^2$ and $A_1=s^2$, the new area is 4 times the old area.

Answer:

The new area will be 4 times the old area.