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?

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) (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

-----------------

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.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim
RELATED QUESTIONS
A rectangles length and width are in a ratio of 6:1. The area is 150 square feet. What... (answered by lwsshak3)

if the area of a rectangle is 6720 square feet and the ratio of the width to the length... (answered by stanbon)

A rectangle's length and width are in a ratio of 8:1. The area is 200 square feet what is (answered by Fombitz)

A rectangle with an area of 300 square centimeters has a length and width in a ratio of... (answered by stanbon)

The sides of a rectangle are in the ratio 3:4. If the area of the rectangle is 300 square (answered by Alan3354)

A rectangle with an area of 504 feet has a length and width in a ratio of 9:14. What are... (answered by Fombitz)

A rectangle has a length to width ratio of four to three. the area of the rectangle is... (answered by rfer)

The length and width of a rectangle are in the ratio of 5:3 The perimeter is 64 feet.... (answered by rfer)

the length and the width of a rectangle are the ratio of 2 to 1. the area is 200 square... (answered by rfer)