The length of a rectangular field is 5 meters more than its width. Its area is 300 square meters. How long is the field?

the length is 20meters

Step-by-step explanation:

from the question we were given that the length of a rectangular field is 5 meters more than its width, so we say let the width be x.

mathematically,

x = width

and length = x + 5 (since the length is 5 meters more than the width)

then,

recall that the area of a rectangle = length * the width

given that the area = 300 square meters

300 = x + 5 * x

300 = x (x + 5)

300 = x² + 5x

x² + 5x - 300 = 0

(x+20) (x-15)

x = - 20 or x = 15

note that there is nothing like negative length so we will ignore the - 20 so our x = 15 (width).

no, to find the length of the rectangle

from length = x + 5

= 15 + 5

= 20meters

therefore the length is 20meters