Question

Length of a rectangular field is 6 metre more than its breadth and the perimeter of the field is 84 metre. Find the length and breadth of the field

Answer 1

Answer:

432 m^2

Step-by-step explanation:

breadth be x m

length be (6+x)m

perimeter=2(l +b)

84=2((6+x)+x)

84=12+2x+2x

72=4x

x=18

length =6+x=6+18=24m

breadth= 18 m

area =l * b= 24*18=432 m^2

Answer 2

Answer:

Breadth of a rectangular field = x = 18 m

And

Length of a rectangular field = (x + 6) = 24 m

Step-by-step explanation:

Given,

Perimeter of rectangular field = 84 m.

Let the length and breadth of a rectangular field be l and b respectively.

Let the breadth of a rectangular field be x.

Length of a rectangular field is metre more than its breadth

Then,

Length of a rectangular field be (x +6).

According to the question

Perimeter of a rectangular field = 84 m

2(l + b) = 84 m

2(x + 6 + x) = 84 m

2(2x + 6) = 84 m

4x + 12 = 84 m

4x = 84 - 12 m

4x = 72 m

x = 72/4 m

x = 18 m

(x + 6) = (18 + 6) m = 24 m

Breadth of a rectangular field = x = 18 m

And

Length of a rectangular field = (x + 6) = (18 + 6) m = 24 m

Hence,

Breadth of a rectangular field = x = 18 m

And

Length of a rectangular field = (x + 6) = 24 m