A rectangular field has a width of x meters.

Question

The length of the field is 25m greater than twice the width of the field.
The area of the field is 450m²
Work out the length of the field.

Someone please help me

Answer 1

y = 2 x + 25
x y = 450

so x = 450/y
y = 2 (450/y) + 25
y^2 = 900 + 25 y
y^2 - 25 y - 900 = 0
(y-45)(y+20) = 0
y = 45