Question

The perimeter of a rectangle plot of ground is 120m .The breadth is 2/3 of the length. Find the area

Answer 1

Answer:

864 sq.metres.

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Step-by-step explanation:

p=2(L+b)

b= 2L/3

so p= 2(L+ 2L/3)

p=2(3L/3+2L/3)

p=2(5L/3)

p= 10L/3

also, p=120 m

so

120m = 10L/

120×3m =10L

360m/10= L

L= 36m

B =2L/3

=2×36/3

=24m

Area = Length×Breadth

36×24 sq.metres

864 sq.metres

Answer 2

Let the value be as 2x , 3x

120=2(l+b)

120=2(3x+2x)

120=2×5x

120/2=5x

60=5x

60/5=x

12=x

2×12=24

3×12=36

Area of rectangle = l×b

24×36

864m2