Question

7.
The length of a rectangular field is 4 m more its breadth. If the
area of field is 480 m. Find its breadth?
(A) 16 m
(B) 18 m
(C) 20 m
(D) 24 m (E) N.O.T.​

Answer 1

Hey friend,

Here is the solution :-

Let the Breadth be x metres and therefore the Length be x+4 metres and Area is given as 480 square metres.

$area \: of \: the \: rectangle \: = length \times breadth \\ \\ 480 = (x + 4)x \\ \\ = > {x}^{2} + 4x = 480 \\ \\ = > {x}^{2} + 4x - 480 = 0 \\ \\ now \: by \: splitting \: the \: middle \: term : \\ \\ = > {x}^{2} + 24x - 20x - 480 = 0 \\ \\ = > x(x + 24) - 20(x + 24) = 0 \\ \\ = > (x + 24)(x - 20) = 0 \\ \\ = > x + 24 = 0 \\ x = - 24 \\ \\ = > x - 20 = 0 \\ x = 20$

So, the Breadth of the rectangular field is 20 metres.

✨I hope this will help you....✨