Find the dimensions of the rectangle

Question

the length of a rectangle is 1 m longer than its width and the area of the rectangle is 380 m^2. find the exact dimensions of the rectangle

Answer 1

A=L*W

L=x+1

W=x

380=x(x+1)

380=x^2+x

x^2+x-380=0

(x+20)(x-19)=0

x=-20

x=19

x cannot be negative (length is only positive)

W=19 m

L=19m +1 = 20 m

A=19*20=380 (check work)