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Vika [28.1K]
2 years ago
10

Find the value of L. Perimeter =22. Width is 5. So what is L. On a square

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
4 0
P= L+W 
P= Perimeter, L= Length  and W=Width
Length + Width = Perimeter
So, then P(22) - W(5) = L(17)
Hope that helps.
 

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The area of a rectangular wall of a barn is 45 square feet. Its length is 12 feet longer than the width. Find the length and wid
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Step-by-step explanation:

by using the formula for area:  A= L x W  substitute in what you know:   A = 54  , the length in terms of the width so use

 

L=12 + 2W.

 

Now when everything is plugged in you now have:  54 = (12 + 2W) x W  

 

Then use the Distributive Property to simplify:   54 = 12W + 2W2

 

Since you know have a quadratic to solve get it in the form  ax2+bx + c = 0 so that you can solve it:

 

You do this by subtracting 54 from both sides and putting the 2W2 first so now it looks like this:

 

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Using the quadratic formula where a =2, b = 12, and c = -54.

 

Find b2-4ac which is the discriminant:

 

(12)2-4*2*(-54)=576

 

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Now substitute the rest of the values into the Quadratic Formula:

 

It will look something like this:   W = (-b plus or minus the square root of the discriminant)/2a

 

The two possible answers are:    

 

W = (-12 + 24)/4      and  W = (-12 - 24)/4

 

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Width = 3 feet        Length = 12 + 2W = 12 + 2*3= 12 + 6 = 18 feet

 

This checks because A = L x W     and  54 = 18 x 3

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