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

yes

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step-by-step explanation: