SOLUTION: A rectangle's length and width are in a ratio of 3:1. The area is 75 square feet. What are the length and width?

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Question 912740: A rectangle's length and width are in a ratio of 3:1. The area is 75 square feet. What are the length and width?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"A rectangle's length and width are in a ratio of 3:1" means

Length = 3x

Width = 1x

Area = Length * Width

A = L*W

75 = 3x*1x

75 = 3x^2

3x^2 = 75

x^2 = 75/3

x^2 = 25

x = sqrt(25)

x = 5

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Length = 3x = 3*5 = 15

Width = 1x = 1*5 = 5

The length is 15 ft and the width is 5 ft

Let me know if you need more help or if you need me to explain a step in more detail.
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Thanks,

Jim