Question

The length of the top of the table is 7 m greater than the width. The area is 78m^2. Find the dimensions to the table.

Answer 1

length = 13m
width = 6m

Answer 2

named x the width of the table
the length would be x+7
the area of a rectangle is: A=w*l
so
A=x*(x+7)=78
x²+7x-78=0

delta=b²-4ac=7²-4*1*-78=361=19²
x=(-7+19)/2 or (-7-19)/2 <= no possible
x=12/2=6

width=6
length=13

Answer 3

x(x + 7) = 78
x^2 + 7x -78 = 0 now factorise...

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

x = 6 or -13

x cannot be equalto -13 as it is a length

so x = 6

hence dimensions of table are 6 and (7+6) which is clearly 13