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If in a rectangular plot, 5 square flower beds of side (x + 2)m each have been laid, then what would be the total cost of fencing the flower beds at the cost of Rs. 50 per 100m?

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(10+30x)

(20+10x)

10 x + 20

None of the above

answer is C.

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Detailed Solution

We have been given,
5 square flower beds of side (x + 2)m each.
The total cost of fencing the flower beds = Rs. 50 per 100m.
We know the perimeter of the square is 4 times of its side.
And it is given that the side of one square flower is

x + 2 m

.
Thus, the perimeter of one square flower bed is 4 times

x + 2 m

.
So, the total perimeter of 5 such square flower beds,
=5

×

Perimeter of 1 square
=

5 × 4 x + 2 = 20 x + 2

We know the cost of fencing 100 m is Rs. 50.
Thus, the cost of fencing 1 m is

50100

.
The cost of fencing 20(x+2)m,

50100 × 20 x + 2 = 10 x + 2 = 10 x + 20

Therefore, the cost of fencing is Rs.

10 x + 20

.
Hence, option 3 is correct.

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