The dimensions of a rectangular dining room are 18 feet by 16 feet. if a scale factor of 1/4 is used to make a scale model of the dining room, what is the area of the dining room in the scale model? 18 square feet 36 square feet 48 square feet 72 square feet

18

Step-by-step explanation: you first multiply 18 by .25 which is equal to 1/4 and then do the same to 16 and you get 4 for 16 and 4.5 for 18 then you multi 4.5 and 4 to get 18

yep 18 sq ft

Step-by-step explanation:

took it on Edg

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4