Plz help me 50points plzzz help me

the answer will be

area is= 10

maximum area is 100

Step-by-step explanation:

hello,

to find the area of the figure:

A = b x h

b = w ; h = 20-w

A = w(20-w)

A = 20w - w^2  OR  A = -w^2+20w

to find the maximum w value:

so this equation when graphed would make a parabola. the maximum area is found using the vertex of the parabola.

you can graph it to find the vertex or the vertex can be found with the formula -b/2a

our b is 20 and our a is -1

-b/2a = -20/2(-1) = 10

10 is the w value

to find the area we substitute all the w's in the equation for 10

A = 20w-w^2

A = 20(10) - (10)^2

A = 200 - 100

A = 100

so to sum up:

the equation for the area is A = 20w - w^2  OR  A = -w^2+20w (whichever one should work)

the maxiumum area is 100 square units

hope this helped :)