catprincesslovr catprincesslovr

02-06-2021
Mathematics

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the perimeter of a rectangle is 90m. The length is three less than five times the width. What is the length and the width of the rectangle?

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reinhard10158 reinhard10158

04-06-2021

Answer:

length : 37 m

width : 8 m

Step-by-step explanation:

perimeter = 2×l(ength) + 2×w(idth) = 90

l = 5w - 3

=> 2×(5w-3) + 2w = 90

10w - 6 + 2w = 90

12w = 96

w = 8

=> l = 5w - 3 = 5×8 -3 = 40-3 = 37

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