SOLUTION: the length of the top of a table is 6m greater then the width. the area is 72m(to the second). find the dimensions of the table wdth? length?

Question 595166: the length of the top of a table is 6m greater then the width. the area is 72m(to the second). find the dimensions of the table
wdth?
length?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x = width

Since "the length of the top of a table is 6m greater then the width", we know that the length is x+6

The area is then x(x+6), but this area is 72 sq meters, so

Now get the equation into standard form

and now use the quadratic formula to solve for x.

or

or

or

or

Discard the negative solution to get the only solution of

So the width is x = 6 meters

and the length is x + 6 = 6+6 = 12 meters

As a check, notice that 12 is indeed 6 greater than 6. Also 12*6 = 72. So our answers check out.
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