Express the perimeter of the house in terms of the width

The length of a house is 3 times its width. The width of the house is f yards. If the perimeter of the house is h yards, express h in terms of f.

---

f = width  {width of house is f yards}
3f = length  {length is 3 times the width}

Assuming the house is in the shape of a rectangle:

Perimeter of a rectangle = 2(width) + 2(length)
h = 2(f) + 2(3f)  {substituted f in for width and 3f in for length}
h = 2f + 6f  {multiplied 2 by 3f}
h = 8f yds  {added}

Ask Algebra House