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.

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.