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The breadth of a rectangular field is 60% of its length . If the perimeter of he field is 800 m. what is the area of the field ?


Options:
A .  18750 sq.m.
B .  37500 sq.m.
C .  40000 sq. m.
D .  48000 sq.m.
Answer: Option B

Let  length  = `x` metres ,    Then breadth =` (60/100 x)` meres   =` ((3x)/(5))` metres

perimetre = `[2(x + (3x)/(5))]` m =  `((16x)/(5))` m.

`:.`   `hArr(16x)/(5) = 800`

`hArr     x = ((800 xx 5)/(16))` = 250.

So, length =  250 m,  breadth  = 150 m.

`:.`     Area =  (250 x 150) `m^2` =  37500`m^2`




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