The length of a new rectangular playing field is 6 yards longer than double the width. If the perimeter of the rectangular playi
ng field is 294 yards what are the dimensions?
1 answer:
Answer:
width = 47
Length = 100
Step-by-step explanation:
The perimeter of the rectangle has the formula
P = 2(L + W)
P = 2L + 2W
Length = 6 yards longer than double it's width.
Mathematically,
length = 6 + 2W
We put this into the formula for perimeter
P = 2(6+2W)+2W
294 = 12+4W+2W
294 = 12+6W
Collect like terms
294-12 = 6W
282 = 6w
Divide through by 6
W = 282/6
W = 47
This is the width
Remember length = 6 + 2(W)
So
Length = 6+2(47)
= 6+94
= 100
Width = 47
L = 100
These are the dimensions
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