Question

Help me with question 3. (It will be 33 points)

Answer 1

Answer:

PartA

P = 4a

Part B

60 = P fence + 2a

60 = 6a

Part C

40

Step-by-step explanation:

We are building a fence so we are finding perimeter.

Adding the 3 sides

P = a+b+a

P = 2a+b

It is twice as long as it is wide

b= 2a

Replace in the equation for perimeter

P = 2a+(2a)

P = 4a

Part B

We know the perimeter is 60 for the entire backyard

The perimeter of the backyard is  the fence plus the longer side

60 = P fence + b

Replacing b

60 = P fence + 2a

We know the equation for the perimeter of the fence is

60 = 4a + 2a

Combing like terms

60 = 6a

Part C

Solve for a and b

60 = 6a

Divide each side by 6

60/6 = 6a/6

10 =a

P fence = 4a

P = 4(10) = 40