SOLUTION: The length of the top of a table is 5m greater than the width. The area is 66m. Find the dimensions of the table

Question 778183: The length of the top of a table is 5m greater than the width. The area is 66m. Find the dimensions of the table
Answer by harpazo(655) (Show Source): You can put this solution on YOUR website!
Width = x meters
Length = x + 5 meters
Area = 66 meters
Use Area = length times width
66 = (x+5)x
66 = x^2 + 5x
x^2 + 5x - 66 = 0
We now factor the quadratic equation to find x.
(x+11)(x-6) = 0
Note: Setting x+11 = 0 and solving for x yields
a negative answer. Since we are dealing
with dimension, reject x+11.

Solve x-6 = 0 for x.
In this case, x = 6.

Let's go back to the actual width and length
given above.
Width = x meters. We just found x to be 6. This
means the width is 6 meters.

Length = x + 5 meters. Letting x be 6, the length
turns out to be 6+5 meters or 11 meters.
Done.
RELATED QUESTIONS
the length of a table is 5m greater than the width. the area is 66m^2. Find the... (answered by rfer)

The length of the top of a table is 5 m greater than the width. The area is 66m^(2).... (answered by richard1234)

The length of the table top is 5m greater than the width. The area is 66m2. Find the... (answered by chriswen)

The length of the top of a table is 5m greater than the width. The are is 84m^2. Find the (answered by waynest)

The length of the top of a table is 7m greater than the width. the area is 78m^2. find... (answered by chriswen)

The length of the top of a table is 4m greater than the width. The area is 77m^2. Find... (answered by chriswen)

The length of the top of a table is 5 m greater than the width. The area is 104 m^2. Find (answered by Cromlix)

The length of the top of the table is 6m greater than the width. The area is 72m squared. (answered by the_tutor2011)

The length of the top of the table is 7m greater than the width. The area is 78m^2. What... (answered by mananth)