A rectangular field has an area of 1800 square meters and a perimeter of 180 meters. Find the dimensions of the field.

Question

This question is from quadratic equation.

Answer 1

w represents the width

90 - w represents the length

 

1800 = w(90 - w)

1800 = 90w - w²

w² - 90 w + 1800 = 0

(w - 30)(w - 60) = 0

 

The field is 60 x 30 meters.