Half the perimeter of a rectangular field whose length is one more than thrice the width is 29; then its dimension are (width and length respectively) :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 7 and 22
let the width of the rectangle be $w$ and length be $l$.
$l=3w+1$
Perimeter, $P=2(l+w)$
$⇒\frac{P}{2}=l+w=29$
$⇒(3w+1)+w=29$
$⇒4w=28$
$⇒w=7$ and $l=22$