Question

A rectangular plot has dimensions in the ratio 3:2. If a woman running along the circumference of the plot at a speed of 12 km/hr completes one round in 480 seconds, then the area of the plot (in sq. m) is:

Answer 1

l:b = 3:2
circumference(d) = 2 (l+b) = 2(3x+2x)
= 2*5x = 10x

s = d/t
s = 12 * 5/18
= 30/9 m/sec
t = 480 sec

s=d/t
30/9 = 10x /480
30/9 = x/48
x = 30*48 /9
x = 160

l = 3*160 = 480 m
b = 2*160 = 320 m

Area of the plot = l*b = 480*320 = 153600 sq m

Answer 2

12*5/18=10/3m/s*480=1600m
Means women complete distance =1600m
Now area ratio =3:2=3x:2x
perimeter =1600
Now 2(3x+2x)=1600
10x=1600
X=160
So length =3*160=480m
Breadth =2*160=320m
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Answer 3

12*5/18=10/3m/s*480=1600m
Means women complete distance =1600m
Now area ratio =3:2=3x:2x
perimeter =1600
Now 2(3x+2x)=1600
10x=1600
X=160
So length =3*160=480m
Breadth =2*160=320m
I think it is helpful for you If you like please mark as brainliest


X^2=