Question

Two rectangular boards are joined to form a bigger board. The length of each board is 6cm .If the ratio of the length to width of the bigger piece is equal to the length to width of each of the smaller pieces, then the width of the bigger piece is

Answer 1

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We have,

• length of small board = 6 cm
• then length of big board = 12 cm

Let breadth of the small board is b and breadth of the big board is y

and according to the question,

• ratio of length and breadth of small boards is equal to the length and breadth of the big boadd

$\bold{: \implies \frac{6}{b} = \frac{12}{y} } \: \: \\ \\ \bold{ : \implies 6y = 12b} \\ \\ \bold{ : \implies y = \cancel{\frac{12b}{6} }} \\ \\ \bold{: \implies y =2b } \: \: \: \: \:$

so, we can say that breadth of big board is double to breadth of the small boards.