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Solution

Let,

ratio of length and width = a:b

Length, L=ax=AB=CD

width, W=bx=AC=BD

where x is the common factor of the ratio.

Now,

here, θ must be in radian.

We know,

arc= angle made by the arc(in radian) * radius

=> AGC=θ*r

=>S=θ*kx

according to question,

2S + 2l = 400

=>2θ.kx + 2ax = 400

=> x=400/(2θk+2a)

Now L=ax & W=bx

Source Code

 


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