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

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 Click here to see ALL problems on Geometry Word Problems 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 widthFound 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(2925)   (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