Question

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

Answer 1

Breadth of rectangle = 10 and length of rectangle = 15

and breadth of in another rectangle = 9 and length of  in another rectangle = 12

Step-by-step explanation:

Let breadth of rectangle = 2x and length of rectangle = 3x

In another rectangle,  breadth of rectangle = 2x - 1 and

length of rectangle = 3x - 1

According to question,

$\dfrac{2x-1}{3x-3} =\frac{3}{4}$

⇒ $9x-9=8x-4$

⇒$9x-8x=9-4$

⇒$x =5$

∴ $2x=2\times5 = 10 and 3x=3\times5 = 15$

In another rectangle,

$2x - 1 = 2\times 5-1= 9 \\and \\3x - 3= 3\times 5-3= 15-3=12$

Hence, breadth of rectangle = 10 and length of rectangle = 15

and breadth of in another rectangle = 9 and length of  in another rectangle = 12