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The perimeter of a rectangle is 42 inches. The length is 5 inches longer and the width. ...

The perimeter of a rectangle is 42 inches. The length is 5 inches longer and the width. Find the length and width of the rectangle?
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  • A \(8 cm\) inches
  • B \(13 cm\) inches
  • C \(8.4 cm\) inches
  • D \(25 cm\) inches
Correct Answer: Option B
Explanation:
\(P =2( L + W )=42\)
Where \(P =\) Perimeter
\(L =\) Length and \(W =\) widthivide both sides by 2
\(L + W =21\)
\(L = W +5\)
Put eqn (2) into (1)
\(W+5+W=21\)
\(2 W=21-5, \quad 2 W=16\)
\(W=16 / 2=8\) Inches
Put \(W=8\) into eqn (2)
\(L =8+5=13\) inches

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