The length of a rectangle is 3 meters longer than its width. If the area of the rectangle is 40 square meters, what are the
dimensions?

Length=8 Width=5

Step-by-step explanation:

Set this up as a system of equations with l standing for length and w standing for width.

w+3=l

l×w=40

Substitute rhe first equation into the 2nd one.

w(w+3)=40 > w^2+3w=40

Move all the terms to the left side

w^2+3w-40=0

Factor

(w+8) (w-5)

Set both factors equal to 0.

w+8=0 > w=-8

w-5=0 > w=5

Since distance cannot be negative we can eliminate -8. So w=5

Plug it back into any one of the equations and solve for l.

5+3=l > 8=l

So the answer is the length is 8 and the width is 5.