Area Formula For College Math

Question

The area A, in square meters, of a rectangle with a perimeter of 100 meters is given by the equation A = 50w − w², where w is the width of the rectangle in meters. What is the width of a rectangle if its area is 400 m²?

Answer 1

50w-w^2=A=400

p=100 = 2(w+L)

50=w+L

w^2 -50w+400=0

(w-10)(w-40)=0

w=10 or 40

L= 40 or 10

width = 10 meters, Length = 40 meters,

or width=40 meters, Length =10 meters