Question

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 1

Dear student,

Let suppose that length of rectangle is 4x and breadth of rectangle is 3x.

Now, Given that perimeter of rectangle is 154cm.

We know that,

Perimeter of rectangle = 2(Length+breadth)

So substitute values in this to find length of rectangle and breadth of rectangle.

Substituting value in formula :

Perimeter of rectangle = 2( length+breadth)

=> 154 = 2(4x + 3x)

=> 154 = 2×7x

=> 154 = 14x

=> x = 154/14

=> x = 11

Hence the length and breadth of rectangle are :-

• Length of rectangle = 4x = 4×11 = 44cm
• Breadth of rectangle = 3x = 3×11 = 33cm

Regards