Question #1080b

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Answer 1 · 2017-03-16T15:08:00

$b = 7 miles, l = 14miles$ $b = "7 miles", l = "14miles"$

Let the length be $l$ $l$ and the breadth be $b$ $b$ . Thus, according to question,

$l \times b = 98$ $lxx b = 98$

$l (l - 7) = 98$ $l(l-7)=98$

So

$l^{2} - 7 l = 98$ $l^2-7l=98$

$l^{2} - 7 l - 98 = 0$ $l^2-7l-98=0$

$l^{2} - 14 + 7 l - 98 = 0$ $l^2-14+7l-98=0$

$l (l - 14) + 7 (l - 14) = 0$ $l(l-14)+7(l-14)=0$

$l + 7 (l - 14) = 0$ $l+7(l-14)=0$

$l = - 7, l = 14$ $l=-7, l=14$

Since length cannot be negative, the length of the field is $14$ $14$ miles and the breadth is $7$ $7$ miles.