The perimeter of a rectangular picture frame is 30 inches. The length of the frame is three less than twice the width. What are the dimensions of the frame?



Answer :

2w+4w-6=30
6w-6=30
6w-6+6=30+6
6w=36
6w/6=36/6
w=6
Perimeter-30 in
Length-2x-3
Width-x

P=2[l+w]
30=2[2x-3+x]
30=2[3x-3]
30=6x-6
Add 6 to both sides
36=6x
Divide both sides by 6
x=6

Length:9
Width:6

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