The perimeter of a rectangle is 320 feet. Find the length and width if the length is an odd integer and the width is 5 times the next consecutive odd integer.
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The length is 25 feet and the width is 135 feet
What are consecutive odd integers?
Consecutive odd integers differ by 2. If x is an odd integer, then x + 2, x + 4 and x + 6 are consecutive odd integers.
How to find the perimeter of the rectangle?
⇒Perimeter of rectangle = 2(l+w)
The perimeter of a rectangle is 320 feet
let the length of a rectangle is x
The next consecutive odd integer is x+2
width = 5(x+2)
=5x+10
2(length + width) = 320
l+w=160
x+5x+10=160
6x=150
x=25
length = 25 feet
width = 5(25+2)=135 feet
learn more about consecutive odd integers here :
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