Question 144606
The perimeter of a rectangle is 54cm. Two times the height is 3cm more than the width. Find the length of the height and the length of the width.
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Let x = the width
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It says,"Two times the height is 3cm more than the width." so we can say:
2h = (x + 3}
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Given perimeter:
2h + 2w = 54
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Substitute (x+3) for 2h and x for w and we have:
(x+3) + 2x = 54
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3x = 54 - 3
x = {{{51/3}}}
x = 17 cm is the width.
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Find the length from the equation 2h = (x+3)
2h = 17 + 3
2h = 20
h = 10 cm
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Check solution by finding the perimeter using these values