The distance around a rectangular field is 400 meters. The length of t

1.	The distance around a rectangular field is 400 meters. The length of the field is 26 meters more than the breadth. Calculate the length and breadth of the field’?
Answer» Let the breadth of a rectangular field = x m Length = (x + 26) m. Perimeter of a rectangular field = 2(l + b) = 400 l + b = 200 x + 26 + x = 200 2x = 200 – 26 = 174 x = \(\frac{174}2\) ∴ x = 87 ∴ The length = x + 26 = 87 + 26 = 113 m Breadth = x = 87 m.

The distance around a rectangular field is 400 meters. The length of the field is 26 meters more than the breadth. Calculate the length and breadth of the field’?

Answer»

Let the breadth of a rectangular field = x m

Length = (x + 26) m.

Perimeter of a rectangular field

= 2(l + b) = 400

l + b = 200

x + 26 + x = 200

2x = 200 – 26 = 174

x = \(\frac{174}2\)

∴ x = 87

∴ The length = x + 26

= 87 + 26

= 113 m

Breadth = x = 87 m.