180. Find the sides of a rectangle whose area is numerically equal to the sum of its perimeter and diagonal, and the base is three times the height.

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180. If the height is $x$, then the base is $3 x$, the area is $3 x^{2}$. The sum of the perimeter and the diagonal is $8 x+x \sqrt{10}$. [By condition

$$
3 x^{2}=8 x+x \sqrt{10} ; x=2 \frac{2}{3}+\frac{1}{3} \sqrt{10}
$$

The base $3 x=8+\sqrt{10}$.