Question

the length of a rectangular plot is 40 meters more than its breadth. if the cost of fencing the plot at Rs.53 per metre is Rs.10600. What is the length of plot in metres?

Answer 1

Answer:

Let the breadth of the rectangular plot be y and length be x

l = x metres

b = y metres

According to the conditions ;

Perimeter = 2 ( l + b )

= 2 ( x + y ) ---(1)

Perimeter = 10600/ 53

= 200 ---(2)

equating eq (1) and eq (2)

200 = 2 ( x + y )

x + y = 100 -----(3)

x = y + 40 ----(4)

substituting eq (4) in eq (3)

y + 40 + y = 100

2y = 60

y = 30

substituting y = 30 in eq (4)

x = 30 + 40

x = 70

Therefore the length of the field is 70 m .

Answer 2

Answer:

Let breadth be X meters.

Then, length = (X + 40) meters.

Perimeter = 10600/53 =200 m

∴ 2[(X + 40) + X] = 200

2X + 40 = 100

2X = 120

⇒X = 60.

Hence, length = x + 40 = 100 m.

Hope it helps.