Q6 of 15 Page 137

The breadth and length of two rectangles are in the ratio 2 : 3. In another rectangle, whose breadth is 1 centimetres less and length is 3 centimetres less than those of the first, this is 3 : 4. Calculate the breadth and length of both rectangles.

Let the breadth of first rectangle be 2x and length be 3x

In another rectangle, breadth is 1 centimetres less and length is 3 centimetres less than those of the first, this is 3 : 4


⇒


⇒ 4× (2x - 1) = 3 × (3x – 3)


⇒ 8x – 4 = 9x – 9


⇒ -4 + 9 = 9x – 8x


⇒ x = 5


Dimension of first rectangle:


Length = 3× 5 = 15 cm


Breadth = 2 × 5 = 10cm


Dimension of second triangle:


Length = 12 cm


Breadth = 9 cm


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