Question

square qrst is dilated by a scale factor of 4 to form square qrst. side st measures 14. what is the measure of side st?

Explanation:

Step1: Recall dilation formula

When a figure is dilated, the length of a side of the new figure is the product of the scale - factor and the length of the corresponding side of the original figure. Let the length of the side of the original square be $l$ and the length of the side of the dilated square be $l'$, and the scale - factor be $k$. Then $l'=k\times l$.

Step2: Substitute values

We know that $k = 4$ and $l = 14$. Substitute these values into the formula $l'=k\times l$. So $l'=4\times14$.

Step3: Calculate result

$4\times14 = 56$.

Answer:

56