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fenix001 [56]
3 years ago
13

the area of a playground is 20 square yards. The length of the playground is 5 times longer than its width. Find the length and

width of the playground
Biology
1 answer:
Juli2301 [7.4K]3 years ago
5 0
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>

</em>






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