Rectangle dimensions

The rectangle is 6 cm longer than the width. A square with a side equal to the length of the rectangle has an area of 78 cm² larger than the rectangle. Calculate the dimensions of the rectangle.

Final Answer:

a =  13 cm
b =  7 cm

Step-by-step explanation:

$$\begin{gathered} a=b+6 \\ {a}^2=78+a\cdot b \\ {a}^2=78+a(a-6) \\ 6a=78 \\ a=78/6=13\text{cm} \end{gathered}$$

$b=a-6=13-6=7\text{cm}$

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