You have an 24 cm long string. Examine if you can cut in two parts and create

a) Two squares

b) Two circles

whose total area is 20 cm$${}^{2}$$. (The entire length must be used)

It says the string is cut into 2 parts, and not 2 equal parts.

So for 2 squares: The sum of perimeters will be 24 cm. That's,

$4{l}_{1}+4{l}_{2}=24$ and ${l}_{1}^{2}+{l}_{2}^{2}=20$

Similarly, For 2 circles:

$2\pi {r}_{1}+2\pi {r}_{2}=24$ and $\pi {r}_{1}^{2}+\pi {r}_{2}^{2}=20$

I get 2 equations and 2 unknowns, how do I solve these equations?

a) Two squares

b) Two circles

whose total area is 20 cm$${}^{2}$$. (The entire length must be used)

It says the string is cut into 2 parts, and not 2 equal parts.

So for 2 squares: The sum of perimeters will be 24 cm. That's,

$4{l}_{1}+4{l}_{2}=24$ and ${l}_{1}^{2}+{l}_{2}^{2}=20$

Similarly, For 2 circles:

$2\pi {r}_{1}+2\pi {r}_{2}=24$ and $\pi {r}_{1}^{2}+\pi {r}_{2}^{2}=20$

I get 2 equations and 2 unknowns, how do I solve these equations?