Question

The length and breadth of a rectangle are directly proportional. If the length increases from 6 cm to 21 cm and breadth now is 14 cm, then what was the breadth before any change in length occurred?

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Answer 1

Answer:

l=6cm,       b=14cm

Area of rectangle =l×b=6×14=21cm2

Area of Δ=21×b×h=3×area of rectangle

1××h=×24

             h=24cm

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Answer 2

${Length\: and \:breadth\: of \:a\: rectangle\: = Directly\: proportional}$

${Length \:of \:the \:rectangle\: (L1) = 6\:cm}$

${Length \:of \:the \:rectangle\: (L2) = 21\:cm}$

${Breadth \:of \:the \:rectangle = 14cm}$

${Let\: the \:original\: b}$

${readth \:be\: = x}$

${Thus,\:L1\:/B1 = L2\:/B2}$

${Substituting\: the \:values –}$

${= 6\:/x = 21\:/14}$

${= 21x = 6 × 14}$

${= 21x = 84}$

${= x = 84/21}$

${= x = 4}$

$\pink{Therefore,\: the\: original\: breadth\: was\: 4cm}$