Question

if the perimeter of a rectangular field is 120m and the length is double the breadth.find the area of the field​

Answer 1

Step-by-step explanation:

let the length be x and breadth be y

2(x+y) = 120 .... 1

x = 2y ....2

substituting the value of x in eq 1

2(x+y) = 120

2(2y + y) = 120

2 × 3y = 120

6y = 120

y = 120/6

y = 20

substituting the value of y in eq 2

x = 2 × 20

x = 40

area = l×b

= 40×20

= 800 cm²

Answer 2

Step-by-step explanation:

perimeter of a rectangular field 120 m

2( L+B ) = 120 1)

let breath = a 2)

then length = 2× double of breadth

= 2× a = 2a 3)

put the values of equation 2 and 3 in equation 1

2(L+B) = 120

2(a+2a) = 120

2× 3a = 120

6a = 120

a = 120/6

a = 20

now breadth is = a =20

now length is = 2a = 2×20 = 40

area of a rectangle = length × breadth

= 40 × 20

= 800 metre square

I hope you understand solution