1.

The length and breadth of a rectangle are in the ratio 4 : 3. If its perimeter is 154 cm, find its length and breadth.​

Answer»
  • Length of RECTANGLE is 44 cm.
  • Breadth of rectangle is 33 cm.

Step-by-step explanation:

Given:-

  • Length and breadth of rectangle are in ratio of 4:3.
  • Perimeter of rectangle is 154 cm.

To find:-

  • Length of rectangle.
  • Breadth of rectangle.

Solution:-

Let, Length of rectangle be 4x.

And, Breadth of rectangle be 3x.

Perimeter of rectangle = 2(length + breadth)

So,

➝ 2(4x + 3x) = 154

➝ 8X + 6x = 154

➝ 14X = 154

➝ x = 154/14

➝ x = 11

Verification:-

➝ 2(4x + 3x) = 154

  • Put x = 11

➝ 2(4×11 + 3×11) = 154

➝ 2(44 + 33) = 154

➝ 88 + 66 = 154

➝ 154 = 154

Hence, Verified!.

We have taken length be 4x = 4×11 = 44. Thus, Length of rectangle is 44 cm.

And we have also taken breadth be 3x = 3×11 = 33. So, Breadth of rectangle is 33 cm.


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