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Let sides be \( 3x, 4x, 5x \).
\( 3x + 4x + 5x = 60 \).
\( 12x = 60 \), so \( x = 5 \).
Sides are 15 cm, 20 cm, 25 cm.
Use Heron’s formula: \( s = \frac{60}{2} = 30 \).
Area = \( \sqrt{30(30-15)(30-20)(30-25)} \).
Area = \( \sqrt{30 \times 15 \times 10 \times 5} = \sqrt{22500} = 150 \) cm².
#### 150 cm²
A cylinder has a height twice its radius. If its volume is 288π cm³, find the radius.
Volume \( V = \pi r^2 h \), with \( h = 2r \).