SOLUTION: The length of rectangle is 5 more than the width. If the area is 20 square units. What are the dimension of the rectangle?

Algebra.Com
Question 861656: The length of rectangle is 5 more than the width. If the area is 20 square units. What are the dimension of the rectangle?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Very typical question about rectangle. I will solve this completely in symbols, generally.

L = length
w = width
k = a given constant.
p = perimeter, a given constant.
The description is as L=w+k, and perimeter, p is given.
This like the generalization, "the length of the rectangle is k more than the width."

Perimeter Equation:

.
In general, p might or might not be a whole number, and it might or might not be an even number, so I will not immediately here divide both sides by 2.




-
Use the formula for w to find the formula for L.
The description gave L=w+k, so now have , and depending on the kind of form in which you want, can become

.

Naturally, substitute the given values to compute the values for L and w.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

The length of rectangle is 5 more than the width. If the area is 20 square units. What are the dimension of the rectangle?


Let width be W

Then length = W + 5

Therefore, W(W + 5) = 20





Use the quadratic equation formula to solve for W, or the width

Add 5 to that value to determine the value of the length

Then do a check!! 



If you need a complete and detailed solution, let me know!!



Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person, for a fee, obviously.  

RELATED QUESTIONS


9.  The area of a rectangle is 45 square cm.  If the length is 4 cm greater than the... (answered by Molly27,checkley77)

The area of a rectangle is 45 square cm. If the length is 4 cm greater than the width,... (answered by Jk22)

The area of a rectangle is 45 square cm. If the length is 4 cm greater than the width,... (answered by algebrahouse.com)

The area of a rectangle is 45 square cm.  If the length is 4 cm greater than the width,... (answered by chessace)

what is the dimension of a rectangle whose length is 5 less than twice its width and... (answered by nerdybill)

A rectangle has an area of 24 square units.  The width is 5 units less than the length.  	 (answered by RAY100)

a rectangle has an area of 24 square units .the width is 5 units less than the length .... (answered by Alan3354)

the length of a rectangle is 2 more than twice its width. if the area of the rectangle is  (answered by macston,Gogonati)

a rectangle has an area of 54 square feet. if the length is 3 feet more than the width,... (answered by checkley79)