*The length of a rectangle is 5m more than three times the width. The area is 232m2. Find the length and width of the rectangle.*

**Step 1**- What are the unknowns you're asked to find?

*Find the length and width of the rectangle.*

**Step 2**- We have 2 unknowns (L and W), so we need two equations that relate the unknowns

*the length of a rectangle is 5m more than three times the width*: L = 5 + 3W

*The area is 232m2*: Area = L*W = 232

**Step 3**Substitution

**L***W = 232 [Equation 2]

**5+3W**)*W = 232 [Substituted 5+3W from equation 1 in place of L]

^{2}= 232 [We now have an equation with only variable, W, to solve for]

^{2}+ 5W - 232 = 0 [A quadratic equation!]

**Step 4**- Solve for W. Use the quadratic formula.

^{2}-4ac) where a=3, b=5, c= -232 from our quadratic equation

^{2}-(4)(3)(-232))

**W = 8 meters**

**Step 5**- Solve for L

**L = 29 meters**

**Step 6**Check