Rectangle vs square

One side of the rectangle is 1 cm shorter than the side of the square. The second side is 3 cm longer than the side of the square. The square and rectangle have the same area. Calculate the length of the sides of a square and a rectangle.

Final Answer:

a =  0.5 cm
b =  4.5 cm
c =  1.5 cm

Step-by-step explanation:

$$\begin{gathered} (c-1)\cdot (c+3)=c\cdot c \\ 2c=3 \\ c=\frac{3}{2}=1.5 \\ c=\frac{3}{2}=1.5 \\ a=c-1=1.5-1=0.5\text{cm} \end{gathered}$$

$b=c+3=1.5+3=4.5\text{cm}$

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