A square has an area of $\frac{1}{4}$ of a square unit. If its sides were stretched to be four times as long, what would its new area be? $\newline$ $\_\_\_\_$ square units

Full solution

Q. A square has an area of

\frac{1}{4}

of a square unit. If its sides were stretched to be four times as long, what would its new area be?

\newline

\_\_\_\_

square units

Calculate Side Length: Calculate the side length of the original square. Since $area = side^2$ , let's find the side length: $\sqrt{\frac{1}{4}} = \frac{1}{2}$ .
Determine New Length: Determine the new side length after stretching. Original side length is $\frac{1}{2}$ , and it's stretched to be four times as long: $\frac{1}{2} \times 4 = 2$ .
Calculate New Area: Calculate the new area with the new side length. New area = $\text{side}^2 = 2^2 = 4$ square units.