Question

the length of a rectangular field is 8 less than twice its breadth if the perimeter of the rectangular field is 56 metres find its length and breadth​

Answer 1

Copied from User@TheRyZen

Length = 16 m

Breadth = 12 m

Step-by-step explanation:

Given:

The Length of the rectangular field is 8 m less than twice the breadth.

the Perimeter of the field is 56 meters.

To Find:

What is the length and breadth of the field?

Solution: Let the breadth of the rectangle be x cm. Therefore,

Length = 8 less than 2x

Length = (2x – 8)m

As we know that

Perimeter of Rectangle = 2(Length + Breadth)

A/q

Perimeter is 56 m.

56 = 2(2x – 8 + x)

 56/2 = 3x – 8

 28 + 8 = 3x

 36 = 3x

 36/3 = x

 12 = x

So,

the Breadth of the rectangle is 12 m.

Length of the rectangle is 2(12) – 8

= 24 – 8

= 16

[ Verification ]

56 = 2(Length + Breadth)

56 = 2(16 + 12)

56 = 2 × 28

56 = 56