Question

The length of a rectangular field is 8 meters less than twice its breadth. If the perimeter of the rectangular field is 56 meters, find its length and breadth’?

Answer 1

Let the breadth of a rectangular field = x m. 

Length = 2 × x – 8 = (2x – 8) m.

Perimeter of a field = 56 m. 

∴ 2(l + b) = 56 

l + b = 28 

2x – 8 + x = 28 

3x = 28 + 8 = 36 

x = \(\frac{36}3\)

∴ x= 12 

∴ Breadth = 12 m 

Length = 2x – 8 

= 2 × 12 – 8 

= 24 – 8 = 16m.