Question

A rectangular carpet measures 12 m by 5 m.

Part of the carpet is covered by a square rug of length 2 m.
12 m
What fraction of the carpet is
covered by the rug?
Give your answer in its simplest form.
5 m
2 m​

Answer 1

`(1)/(15)`

Explanation:

Area of the Rectangular Carpet=12*5=60m²

Area of the Square rug=2*2=4m²

Expressing the area of the rug as a fraction of the total area of the carpet, we have:

`\frac{\text{Area of Rug}}{\text{Area of Carpet}}=(4)/(60)\\=(1)/(15)`.

The fraction of the carpet that is covered by the rug is
`(1)/(15)`.