Aperson wants to create a vegetable garden and keeps the rabbits out by enclosing it with 100 feet of fencing. the area of the garden is giving by the function a (w) = (50-w) where w is the width (in feet) of the garden. can the garden have an area of 700 ft^2?

The garden can not have area of 700ft^2

Step-by-step explanation:

We are given equation for area as

where

w is the width (in feet) of the garden

now, we are given area =700 ft^2

so, we can set area =700

and then we can solve for w

now, we can use quadratic formula

we can compare and find a,b, and c

a=-1 , b=50 , c=-700

now, we can plug values

We can see that values of w is not real

so, w does not exists when area =700

so, The garden can not have area of 700ft^2

step-by-step explanation: