Answer:
a) Plot A: width = 10.93m (2d.p), length = 32.93m (2d.p)
Plot B: width = 15m, length = 24m
See calculations below...
b) No, they don't require equal lengths as they have different perimeters. See calculations below...
c) Plot B is more costly as it costs ₹97.27 more than A.
Explanation:
a) To find the length and breadths of both plots we have to use substitution and quadratics, so let's for now call the left field A and right field B.
To find the length and breadth of A:

Now we use the quadratic formula (
)since we cannot factorise:

Since we cannot have negative length and breadth, our answer for a is
or 10.93 (2d.p.).
Therefore A: width = 10.93m (2d.p), length = 32.93m (2d.p)
Repeat to find the length and breadth of B:

We can simply factorise this one to
, which gives us the solutions b = 15 and -24.
Again, since we can't have negative lengths, b = 15.
Therefore B: width = 15m, length = 24m
b) To figure this out we have use to see their perimeters so let's figure that out now we have their lengths and breadths.
To find A's perimeter:

To find B's perimeter:

Therefore the answer is no, they don't require equal lengths as they have different perimeters.
c) To find the cost of fencing, we times the cost (₹10 per meter) by the perimeter.

Plot B is more costly as it costs ₹97.27 more than A.
Hope this helps!!!