Question

Two similar square tiles having sides of $14cm$, are joined together as shown. Find the area of the resulting figure.

• A. $392c{m}^2$
• B. $396c{m}^2$
• C. $2744c{m}^2$
• D. $196c{m}^2$

Answer 1

The correct option is A $392c{m}^2$

Given:
Length of the side of a square, $s=14cm$
Area of one square tile, $A_1=s^2$
$\Rightarrow A_1=(14cm{)}^2$
$\Rightarrow A_1=196c{m}^2$
Total area of the tiles = $2\times$ area of one tile
Hence, Total area = $2\times A_1$
$\Rightarrow$ Total area = $2\times 196c{m}^2$
$\Rightarrow$ Total area = $392c{m}^2$
Therefore, the total area of the tiles is equal to $392c{m}^2$.