Question

A rectangular 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.

Answer 1

Answer:

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

I hope you find this information useful and interesting! Good luck!

Answer 2

I hope this helps you