Question

PLEASE HELP.

500m of fencing is available to make 4 rectangular pens of identical shape. Find the dimensions that maximise the area of each pen if the plan is: (DIAGRAMS BELLOW)

Answer 1

Answer:

Step-by-step explanation:

According to the figure A

6x + 3y = 500

x = 500 -3y /6..(1)

6x + 3y = 500

6*500- 3y/6+ 3y = 500

250 -y = 500

-y = 500 -250

-y = 250

y = -250....(2)

Putting value in equation 1

x = 250 -y

x = 250 - (-250)

x = 500

Area of the figure= x.y

= - 250 * 500

= - 125000

According the figure 2

2x +5y = 500...(1)

y =- 2x/5 + 100

2x + 5y = 500

2x + 5 * 2x /5 +100 =500

x = 20..(2)

Putting value of equation 2 in equation 1

2x +5y = 500

2* 20 + 5y= 500

40 +5y = 500

5y = 500-40

5y = 460

y= 92

Area = x.y

= 20 * 92

= 1840

Answer 2

Answer:

Step-by-step explanation:

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