A new Community Wellness ComplexCommunity Wellness Complex is being built in Pagosa SpringsPagosa Springs. The perimeter of the
rectangular playing field is 444444 yards. The length of the field is 33 yards less than quadruplequadruple the width. What are the dimensions of the playing field?
1 answer:
Answer:
Width = 44451 yards
Length = 177771 yards
Explanation:
We defined the variables thus:
x : playing field´s width
y : playing field´s length
The perimeter is 444444, then:
2x+2y = 444444
If the length of the field is 33 yards less than quadruple the width
y = 4x-33
We have an equation system that we can resolve by substitution.
2x+2(4x-33) = 444444
2x + 8x -66 = 444444
10x = 444510
x = 44451 yards
and how y = 4x-33, then
y = 4(44451)-33
y = 177771 yards
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