Question

A region is enclosed as shown.

a Find expressions for:
i) A (cm^2), the area of the region in terms of x and y
ii) P (m), the perimeter of the region in terms of x and y

b. i) If the perimeter is 100 m find A in terms of x.
ii) What is the maximum area possible?
iii) State the possible values for x.
iv) Sketch the graph of A against x for these values.

I need help with part b.

Answer 1

yep, that's what I got.

Answer 2

that breaks up into

Answer 3

to find the total area, you find the area of each individual piece and add them together