Question

10 Points! Please help thanks!

Answer 1

Answer:

Area = 200x - x², Max area is 10000m² with dimensions 100m × 100m

Step-by-step explanation:

Total fencing = perimeter

Let length of the sides be x and y,

2(x + y) = 400

x + y = 200

y = 200 - x

Area = x × y

= x(200 - x)

Area = 200x - x²

For max area, convert area into the completed square form

-(x² - 200x)

-(x² -2(x)(100) + 100² - 100²)

-[(x - 100)² - 10000]

-(x - 100)² + 10000

Max area is 10000 m²

Because the least value of (x - 100)² is 0.

That too when x = 100

When x = 100,

y = 200 - x = 200 - 100 = 100

Dimensions are 100m × 100m