A rectangle has an area 40 square units. The length is 6 units greater than the width. What are the dimensions?

Length 10, width 4

Work

40 = lw = (6+w) * w

40 = w^2 + 6w

40 + 9 = 49 = w^2 + 6w + 9

49 = (w + 3) ^2

7 = w + 3

w = 7-3 = 4

remember that 40 = lw? We now know w, so let's find l:

40 = 4l

l = 40/4 = 10

Length 10 units, width 4 units

10,4

Step-by-step explanation:

width = w

length = l = w+4

area = l*w = (w+4) * w