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Gekata [30.6K]
3 years ago
11

the perimeter of a rectangle is 58cm. the length is 7cm less than three times the width. find the length and width. (translate t

o a system of equations and solve)
Mathematics
1 answer:
Pie3 years ago
4 0

Answer:

length = 20 cm

width = 9 cm

Step-by-step explanation:

perimeter =  58 cm

58cm = 2*L+2*w equation 1

L = 3w -7 equation 2

where:

L= length

w=width

so we have:

58 = 2(3w -7) +2w

58 = 6w -14 +2w

58 +14 = 8w

72 = 8w

w = 72/8

w = 9 cm = width

we have:

L = 3(9) -7 = 20 cm = length

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