Question

A student sketched some art on an 8.5 inch × 11inch piece of paper. She wants to resize it to fit an 5 inch × 7 inch fram (as show below)what percent of the original sketch was still able to be included in the frame?

Answer 1

$\begin{gathered} Because\text{ we have to keep the rate of the picture we have that} \\ \frac{11}{8.5}=\frac{7}{x}\rightarrow x=\frac{7\cdot8.5}{11}=5.409 \\ \text{Now the new area is } \\ 7\cdot5.409\text{ =37.863} \\ \text{and if we want to reduce it to fit in a 5x7 fram we have} \\ 5\cdot7=35 \\ so\text{ the percent is} \\ \frac{35}{37.863}\cdot100=92.4 \end{gathered}$