Let W = width of poster
Since the length is 7 inches longer than the width, the length is represented by W + 7.
We know the perimeter is equal to twice the length + twice the width and that is 110 inches. Mathematically that looks like:
2(W + 7) + 2(W) = 110
Now let's solve for W:
2(w+7)+2w=110
Step 1: Simplify both sides of the equation.
2(w+7)+2w=110
Simplify: (see simplify steps down below)
4w+14=110
Step 2: Subtract 14 from both sides.
4w+14−14=110−14
4w=96
Step 3: Divide both sides by 4.
4w4=964
w=24
Answer:
w=24
Simplify Steps:
(2)(w)+(2)(7)+2w=110(Distribute)
2w+14+2w=110
(2w+2w)+(14)=110(Combine Like Terms)
4w+14=110
