Question

The shaded region in the below figure shows the area of the garden in a house. Find the area of the garden.

• A. $\frac{12}{35}$ sq units
• B. $\frac{34}{57}$ sq units
• C. $\frac{35}{12}$ sq units
• D. $\frac{7}{12}$ sq units

Answer 1

The correct option is A $\frac{12}{35}$ sq units

Let us find the area of one tile(shaded in red color)

Length is $\frac{1}{5}$ units

Width is $\frac{1}{7}$ units


Hence, area of each tile is $\frac{1}{35}$ sq units.

Number of shaded tiles = 12

Therefore, area of 12 shaded tiles = 12 $\times$ $\frac{1}{35}$

= $\frac{12}{35}$ sq units

We can also find the area as shown below:


Length of shaded region (green) = $\frac{4}{7}$ units


Width of shaded region (green) = $\frac{3}{5}$ units

Area of shaded region (green) =$\frac{4}{7}$ $\times$ $\frac{3}{5}$ = $\frac{12}{35}$ sq units

Hence, area of the garden = $\frac{12}{35}$ sq units.