Given: First understand the problem
Width(W) = X
Length (L) = 2X + 2
Perimeter: 44 m - a rectangle
Find: L & W
Plan:
Use the Perimeter formula to get an equation to solve.
Always try and find an equation relating the given facts to what must be found.
P = 2(L + W) Now substitute & solve
44 = 2((2X + 2) + X) = 4X + 4 + 2X = 6X + 4 Remove parentheses and combine like terms
Therefore: 6X + 4 = 44 Subtract 4 from both sides of the equation.
6X = 40 Divide both sides of the equation by 6
X = 40/6 ≈ 6.666…
Thus: W = 6.666…m, L = 2X + 2 ≈ 2(6.666) + 2 = 15.332 m