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

Answer:

$\frac{1}{15}$

Step-by-step 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:

$\frac{\text{Area of Rug}}{\text{Area of Carpet}}=\frac{4}{60}\\=\frac{1}{15}$.

The fraction of the carpet that is covered by the rug is $\frac{1}{15}$.