Question

Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions will maximize the area of the paddleball court?

Answer 1

L = 10m

And, W = 20m

Explanation:

The computation is shown below:

Given that

2L + W = 40 m

Also we know that

Area = Length × width

= L × ( 40 - 2L)

= 40L - 2L^2

= -2(L^2 - 20L)

= -2(L^2 - 20L + 100 - 100)

= -2(L^2- 20L + 100) + 200

= -2(L - 10)^ + 200

So

L = 10m

And, W = 20m