Question

The area of a rectangular field is 144 m square if the length has been 6m more the area would have been 54 metres square more original length of the field is

Answer 1

Answer:

Step-by-step explanation:

Area of rectangular field = 144 m²

Let L and B be the original length and breadth.

Now, given that,

new length = L + 6

And new area = 144 + 54 = 198 m²

Therefore, according to given condition,

L × B = 144

So, B = 144/L ......................(1)

and (L + 6) × B = 198

So, B = 198/(L + 6) ...............(2)

So, from (1) and (2),

144/L = 198/(L + 6)

144(L + 6) = 198 L

144 L + 864 = 198 L

864 = 54 L

L = 16 m