Question

The shaded region shows the area of a room in a house. Find the area.

• A. $\frac{10}{54}$ sq units
• B. $\frac{10}{9}$ sq units
• C. $\frac{7}{15}$ sq units
• D. $\frac{54}{10}$ sq units

Answer 1

The correct option is A $\frac{10}{54}$ sq units

Let us find the area of one tile.


Length of each tile is $\frac{1}{6}$ units

Width of each tile is $\frac{1}{9}$ units

Hence, area of each tile is $\frac{1}{54}$ sq units.

Number of shaded tiles = 10

Therefore, area of 10 shaded tiles = $\frac{1}{54}$ $\times$ 10

= $\frac{10}{54}$ sq units.

We can also find the area as shown below.

The length of the shaded region = $\frac{5}{9}$ units

The width of the shaded region = $\frac{2}{6}$ units

Area = length $\times$width

Area = $\frac{5}{9}$ $\times$ $\frac{2}{6}$

= $\frac{10}{54}$

Hence, the area of the room = $\frac{10}{54}$ sq units