Question

sides of a rectangular park is the ratio 4:3. If its area is 1728m square find the cost of fencing at ₹30 per meter

Answer 1

hello!!

here's ur answer...

let the length and breadth of the park be 4x and 3x respectively.

area of the rectangular park=1728m²

l×b=1728m²

4x×3x=1728m²

12x²=1728m²

x²=1728/12

x²=144

x=√144

x=12cm

hence, length of the park=4x

=4×12

=48m

breadth of the park=3x

=3×12

=36m

perimeter of the park=2(l+b)

=2(48+36)

=2×84

=168m

total cost of fencing if 1m² cost ₹30

=168×30

=₹5040

hope this helps...

Answer 2

Let the sides be β.
Then, the two sides become 4β and 3β .
Area of rectangle = length × breathe
Area of that rectangle = 4β × 3β
= 4β × 3β =1728
= 12β^2 =1728
=β^2 =1728/12
=β × β = 144
=β = √144
=β = 12
Then, side = 4×12 and 3×12
= 48 and 36
Here, the question don't ask which is length and breadth
For, finding the cost of fencing, we need to find perimeter of rectangle
Perimeter of recta