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Perimeter Word Problems Worksheets PDF  Form

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length of a rectangle is 5 less than triple the width if the perimeter is 22 in what are the length and width of this rectangle well I'll plug in W for width using a variable and I want one variable so I'm going to put length in terms of w so it be five less than triple the width that's three wus 5 now our perimeter of a rectangle you got two lengths two widths so it's going to be 2 L plus 2 W and again our length we have 3 w- 5 so I'll substitute that in for L 2 * 3 W - 5 plus 2 w equals the perimeter which is 22 in this case now we just have to solve for w so we're going to distribute that 2 2 * 3 W gives us 6 W 2 * 5 gives us -10 plus 2 W combine our like term 6 W + 2 W gives 8 W - 10 = 22 and now we want to just get our W's alone so add 10 to both sides get the 8 W alone then divide both sides by eight to get W alone so 32 divid by 8 gives us four Ines for the width plug that back in for the length 3 * 4 gives us 12 - 5 gives

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