The circumference

The circumference of the rectangle is 62 cm. A square whose side is as long as one side of a rectangle has a circumference of 56 cm. What is the area of each shape?

Correct answer:

S₁ =  238 cm²
S₂ =  196 cm²

Step-by-step explanation:

$$\begin{gathered} o_1=62\text{cm} \\ {o}_2=56\text{cm} \\ {o}_2=4a \\ a=o_2/4=56/4=14\text{cm} \\ {o}_1=2(a+b) \\ b=o_1/2-a=62/2-14=17\text{cm} \\ {S}_1=a\cdot b=14\cdot 17=238{\text{cm}}^2 \end{gathered}$$

$S_2=a\cdot a=14\cdot 14=196{\text{cm}}^2$

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