The area of a rectangular mirror is #11 11/16# square feet. The width of the mirror is #2 3/4# feet. If there is a #5# foot tall space on the wall to hang the mirror, will it fit?

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Answer 1 · 2016-04-13T13:12:19

The mirror fits

#color(blue)("Assumption: There is sufficient wall width to take the mirror")#

If #" "2 3/4 xx5 # is more than the surface area of the mirror then it will fit.

Note that #2 3/4 -> 11/4# so we have

wall surface are #->11/4xx5 = 55/4#

( think of #11/4xx5" as " 11/4xx5/1 =(11xx5)/(4xx1)=55/4" "#)

wall surface are ->#55/4 = 13 3/4 ft^2#

As the area of the mirror #11 11/16 ft^2< 13 3/4 ft^2# area of the wall

Then the mirror fits