Question

the length of a rectangle is 4 meters longer than the width. if the area is 22 square meters , find the rectangle dimension

Answer 1

Let breadth be x

• Length=x+4

We know

$\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}$

$\\ \sf\longmapsto x(x+4)=22$

$\\ \sf\longmapsto x^2+4x=22$

$\\ \sf\longmapsto x^2+4x-22=0$

• By solving

$\\ \sf\longmapsto x=-2\pm\sqrt{26}$

It doesnot have any real roots