Question

there is a rectangular plot in a Secondary School the ratio of length and breadth of a plot is 3 : 5 if cost of fencing of the plot at 50 rupees per metre is 5600 find the dimension of the plot

Answer 1

Hey !!!

°•° 50 ₹ __________ 1m
•°• 5600₹ __________ 5600/50

•°• Perimeter of rectangular plot = 5600/50
=> 112 m

Let the ratio of lenght & breadth of rectangular plot = 3x and 5x

We know that ,

perimeter of rectangle = 2 ( l + b ) = 112

2 ( 3x + 5x ) = 112

16x = 112

x = 112/16 = 7 m

lenght = 3x = 7 × 3 = 21 m

breadth = 5x = 7× 5 = 35m

Hence the dimension of lenght & breadth is 21m & 35m

___________________________

Hope it helps you !!!

@Rajuraj !!!

Answer 2

let the length and breadth be 3x and 5x
the perimeter = 2 x length + 2 x breadth
=> 6x + 10x
=> 16x

total cost = perimeter x cost per meter
=> 5600 = 16x * 50
=> x = 5600/16 * 50
= x= 7
lengh = 21m
breadth = 35m