Question

The length and the breadth of a rectangular plot are in the ratio 5:3. If perimeter of me plot is 480 m, find its length and breadth. ​

Answer 1

Step-by-step explanation:

LET THE CONSTANT BE X

L=5X

B=3X

P=2(L+B)

480=2(5X+3X)

480=2(8X)

480=16X

16X=480

X=480/16

X=30

ANSWER L=5X=5×30=150M

B= 3X=3×30=90M

Answer 2

Answer:

Let the length and breadth be 5x and 3x

⇒ 2 (5x+3x )= 480

⇒ 16x =480

⇒  x=  480 / 16

​        = 30

∴ Length = 5x  = 30 × 5 = 150m

and breadth = 3x = 30 × 3 = 90m

area = length × breadth = 150 x 90 $m^{2}$

       = 13500$m^{2}$

hence length is 150m and breadth is 90 m of the plot.