A student sketched some art on an 8.5 inch x 11 inch piece of paper. She wants to resize it to fit an 8 inch x 10 inch frame (as shown below) What percent of the original sketch was still able to be included in the frame?
A. 75.2%
B. 85.6%
C. 93.8%
D. 96.6%

B. 85.6%

Step-by-step explanation:

Since we want to find the percentage, which is essentially a fraction, we will divide the area of the smaller frame by the area of the larger paper.

The paper and frame are both rectangles, so the area of a rectangle is denoted by A = lw, where l is the length and w is the width.

For the paper, the length is l = 8.5 and the width is w = 11. So:

A = lw

A = 8.5 * 11 = 93.5 inches squared

For the frame, the length is l = 8 and the width is w = 10. So:

A = lw

A = 8 * 10 = 80 inches squared

The percentage of the original sketch included in the frame would be:

(80 / 93.5) * 100 ≈ 85.6%

The answer is thus B.

~ an aesthetics lover

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