Question 39045
perimeter of triangle = perimeter of rectangle
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2x+2x+2x = 4+(x+3)+4+(x+3) ... (simplify)
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6x = 14+2x ... (subtract 2x from both sides)
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4x = 14 ... (divide both sides by 4)
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x = 3.5
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Now you can replace x with 3.5 for each equation:
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Perimeter of triangle = 6x = 6(3.5) = 21
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Perimeter of rectangle = 14+2x = 14+2(3.5) = 21