If the sides of a square are increased by 3 m, the area becomes [tex]64 \, \text{m}^2[/tex]. Find the length of a side of the original square.
Answer (2)
a − t h e l e n g t h o f a s i d e o f t h e or i g ina l s q a re ( a + 3 ) 2 = 64 ⇒ a + 3 = 64 a + 3 = 8 a = 8 − 3 a = 5 ( m ) ← so l u t i o n
The length of a side of the original square is 5 meters. After increasing each side by 3 meters, the area becomes 64 square meters. The calculation involves setting up the equation ( a + 3 ) 2 = 64 and solving for a .
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