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Question
mason is tiling the floor of his bathroom, which measures 9.75 feet by 8.63 feet. he estimates the area. will he have enough tile if he buys 90 square feet of tiles? explain why or why not.
Step1: Calculate actual area
The area of a rectangle is $A = l\times w$, where $l = 9.75$ feet and $w=8.63$ feet. So $A=9.75\times8.63 = 84.1425$ square - feet.
Step2: Compare with the amount of tiles
We compare the actual area $A = 84.1425$ square - feet with the 90 square - feet of tiles he is buying. Since $84.1425<90$.
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Yes, he will have enough tile because the area of the bathroom floor ($84.1425$ square feet) is less than the 90 square feet of tiles he is buying.