The area of a rectangle = length x width so: A = <em>l </em>x w
if we know the area of the playground is 20 sq yards, then:
20 = <em>l x </em>w
if the length is 5 times the width, then: <em>l = 5w </em> We can combine these equations by substituting this <em>" l </em>" into the first equation:
20 = 5w x w
Now solve!
20 = 5w x w combine the w's 20 = 5w² divide both sides by 5 4 = w² square root both sides 2 = w
The width of the playground is 2 yards. To find the length of the playground, you can plug that back into the equation <em>l = </em>5w <em> </em><em>l </em>= 5(2) <em /><em>l = </em>10 <em> </em>The length of the playground is 10 yards.<em>
