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Leno4ka [110]
3 years ago
5

A new community Wellness Complex is being built in Madison. The perimeter of the rectangular playing field is 446 yards. The len

gth of the field is 7 yards less than quadruple the width. What are the dimensions of the playing field?
Mathematics
1 answer:
vovikov84 [41]3 years ago
7 0

Answer:

The length of the rectangular playing field is 177 yards and the width is 46 yards

Step-by-step explanation:

Let

x -----> the length of the rectangular playing field

x -----> the width of the rectangular playing field

we know that

The perimeter of the  rectangular playing field is

P=2(x+y)

P=446 yd

so

446=2(x+y) ------> equation A

x=4y-7 -----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for y

446=2(4y-7+y)

223=5y-7

5y=223+7

5y=230

y=46

Find the value of x

x=4(46)-7

x=177

therefore

The length of the rectangular playing field is 177 yards and the width is 46 yards

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<h3>What are the zeroes of a polynomial?</h3>

The values of x that satisfy the formula f(x) = 0 are the zeros of a polynomial. The polynomial's zeros are the x values for which the function's value, f(x), equals zero in this case. The degree of the equation f(x) = 0 determines how many zeros a polynomial has.

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Clear "o" from the first equation:

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8 0
3 years ago
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