Answer:
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
