Arectangular playground has a perimeter of 180 feet. if the width of the playground is 24 feet less than the length, what is the width, in feet, of the playground? show work.

lenght=57

width=33

Step-by-step explanation:

The perimeter of a rectangle is calculated using the formula

P=2(w+l) where P is the perimeter, w is the width and l is the length.

We know

P=180

lenght (l) = x (unknown value)

width (w)= x-24

Now we change these values in the formula

180=2((x-24)+x)

180=2(x-24+x)

180=2(2x-24)

180=4x-48

180+48=4x

228=4x

x=228/4

x=57

Therefore

P=180

w= x-24 =57-24 =33

l=57

To confirm:

P=2(w+l)=2(33+57)=2(90)=180

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