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use IDEAL to solve the following problems (WORTH 50 POINTS)

15. A standard piece of paper is 8 1/2 in. by 11 in. What is the diagonal length of the piece of paper? Give the answer rounded to the nearest tenth.


16. Garrett's dad is making him help pour a concrete slab for a shed. The pad is a rectangle that has dimensions of 9 1/2 ft by 15 ft. He wants to measure diagonally to make sure the frame is a rectangle. What should the diagonal length of the frames be?

Sagot :

so pythagrorean theorem is the ideal way and easiest way to solve this

a^2+b^2=c^2

8.5^2+11^2=x^2
72.25+121=193.25
square root of 193.25=13.9014 or 13.9 in


9.5^2+15^2=x^2
90.25+225=315.25
square root of 315.25=17.7553 or 17.8 ft