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?
A. \(8 cm\) inches B. \(13 cm\) inches C. \(8.4 cm\) inches D. \(25 cm\) inches
Correct Answer: 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
