The length of the top of a table is 7 m greater than the width. the area is 78 msquared2. find the dimensions of the table.

Let the width = x

the length = x+7

=> Area equation = length x width = x (x+7) = x^2 + 7x = 78

=> x^2+7x - 78 = 0

=> (x-6) (x+13) = 0

=> x=6 or x=-13 (no)

=> the width = 6 m

=> the length = 6+7 = 13 m