Find the side $ a $ of a rectangle if side $b = \frac{ 121 }{ 4 }$ and perimeter $P = \frac{ 301 }{ 2 }$.
Answer
$a = 45$
Explanation
To find side $ a $ use formula:
$$ P = 2 a + 2 b $$After substituting $ P = \frac{ 301 }{ 2 } $ and $ b = \frac{ 121 }{ 4 } $ we have:
$$ \frac{ 301 }{ 2 } = 2 a + 2 \cdot \frac{ 121 }{ 4 } $$ $$ \frac{ 301 }{ 2 } = 2 a + \frac{ 121 }{ 2 } $$ $$ 2 a = \frac{ 301 }{ 2 } - \frac{ 121 }{ 2 } $$ $$ 2 a = 90 $$ $$ a = \dfrac{ 90 }{ 2 } $$ $$ a = 45 $$This page was created using
Rectangle Calculator