Question

The width of a rectangle is one third of the length. If the perimeter is 32 cm, what is the width?

Answer 1

The width is `4cm`

Explanation:

If you draw the diagram making the length of the rectangle `x` and the width `1/3x`, the perimeter would be all the sides added together

so `1/3x + x + 1/3x + x` which would simplify to `2/3x + 6/3x` (same as `2x`) then you would get `8/3x = 32`

multiply both sides by `3` to get `8x = 96`, dividing by 8 to get `x = 12`
the width is `1/3 x` and `1/3 x = 4` so the width is `4cm`.

You can check by 4 + 4 + 12 + 12 = 32. Does this help?