Evaluate the length of the diagonal of the print, Mathematics

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A framed print measures 36 by 22 in. If the print is enclosed by a 2-inch matting, Evaluate the length of the diagonal of the print? Round to the nearest tenth. See Example.

156_Evaluate the length of the diagonal of the print.png

a. 36.7 in
b. 39.4 in
c. 26.5 in
d. 50 in

a. If a framed print is enclosed by a 2-inch matting, the print is 4 in less in length and height. Thus, the picture is 32 in by 18 in. These measurements along with the diagonal form a right triangle. Using the Pythagorean theorem, solve for the diagonal. 322 + 182 = c2; 1,024 + 324 = c2; 1,348 = c2; 36.7 = c. If you select b, you reduced the print 2 inches less than the frame in length and height rather than 4 inches.


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