Question

perimeter of a rectangular plot is 860metre it's length is four more than its breadth.find the dimensions of the plot.​

Answer 1

Breadth = 86 metres, Length = 344 metres

Step-by-step explanation:

Perimeter of rectangular plot = 860 m

Length is four times the breadth

=> l = 4b  ---------------- eqn1

Perimeter of plot => l + l + b + b => 2l + 2b

2l + 2b = 860 ------------------- eqn2

substituting eqn 1 in eqn 2

2(4b) + 2b = 860

=> 8b + 2b = 860

=> 10b = 860

=> b = 860/10

=> b = 86

Therefore breadth is = 86 metres

To find length substitute breadth in any equation

l = 4b

=> l = 4(86)

=> l = 344

Therefore length is = 344 metres

To check our answer

=> 2l + 2b = 860

=> 2(344) + 2(86) = 860

=> 688 + 172 = 860

=> 800 = 800

L.H.S = R.H.S so we are correct

L.H.S = R.H.S