9. CBQ - Find the tiling area

Question:

4 m.

A tiny park is coming up in Dhauli. The plan is shown in the figure. The two square plots, each of area $k^2$ $sq.ft$., will have a green cover. All the remaining area is a walking path of $p$ $ft$ wide that needs to be tiled. Write an expression for the area that needs to be tiled.

Answer:

1. Side length of the square is _________ $ft$.

$k^{2}$
$2 k$
$\frac{k}{2}$
$k$

2. Total length of the rectangular park is __________ $ft$.

$2 (2 p + k)$
$2 (p + k)$
$4 (2 p + k)$
$4 (p + k)$

3. Total breadth of the rectangular park is __________ $ft$.

$p + k$
$4 p + k$
$2 p - k$
$2 p + k$

4. The expression for the area that needs to be tiled is __________ $ft^2$.

$p^{2} + k p - k^{2}$
$8 (p^{2} + k p)$
$8 (p^{2} + k p - k^{2})$
$p^{2} + 8 k p - k^{2}$

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