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Question

The area of the following figure is sq ft.
\begin{tabular}{r|l|l|l|} \multicolumn{1}{c}{\( ft \)} \\ \hline & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular}

A
16
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B
6
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C
14
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D
12
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Solution

The correct option is A 16
Number of horizontal tiles in each row of the figure = 4
Number of vertical tiles in each column of the figure = 4

So,
Total number of tiles = Number of tiles on each row × Number of tiles in each column
⇒ Total number of tiles = 4 × 4 = 16

Area of 1 tile = 1 × 1 sq. ft = 1 sq. ft

∴ Area of the figure will be:
= Area of each tile × Total Number of tiles

So, area of the figure is
= 1 sq ft. × 16 = 16 sq ft.

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