SOLUTION: In a small rectangular wallet photo, the widith is 7 cm less than the length. If the border (perimeter) of the photo is 34cm, find the length and width

Question 53532: In a small rectangular wallet photo, the widith is 7 cm less than the length. If the border (perimeter) of the photo is 34cm, find the length and width
Found 2 solutions by checkley71, funmath:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
2*LENGTH+2*WIDTH=PERIMETER OF A RECTANGLE THUS
2X+2(X-7)=34 OR 2X+2X-14=34 OR 4X=48 OR X=48/4MOR X=12 FOR THE LENGTH & 12-7=5 FOR THE WIDTH
PROOF 2*12+2*5=34 OR 24+10=34 OR 34=34
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
The opposite sides of rectangles are equal. You have 2 widths (W)of the same size and 2 lengths (L) of the same size. If you add up all the sides of a figure, you get its perimater (P). Therefore, the formula for the perimeter of a rectangle is:
P=W+W+L+L
P=2W+2L
P=34 cm
L=x
W=x-7
Substitute these values into the formula for the perimeter of a rectangle and you get:
34=2(x-7)+2x
34=2(x)+2(-7)+2x
34=2x-14+2x
34=(2+2)x-14
34=4x-14
34+14=4x-14+14
48=4x
48/4=4x/4
12=x
Length=x=12 cm
Width=x-7=12-7=5 cm
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