Mr. and Mrs. Samson are planning to build a fence around their garden. They are comparing the different measurements for their plans. Plan A:
1.Posts are 4 ¼ feet in length
2. Post must be installed 7/8 feet below ground level.
Plan B:
1. Posts are 6 ¾ feet in length.
2. Posts must be installed 1 ½ feet below ground level.

1.What will be the height of the fence in plan A?

2. What will be the height of the fence in plan B?

3. Which fence will be taller and by how much?

4. Which plan would you recommend and why?

5. Mr. And Mrs. Samson decide to go with plan A and purchase the materials. Their total bill is $356.88. If they pay $220 in cash and charge the remainder, how much did they charge?

The relationship between the heights of the fence, the lengths, the distance below the ground level is an illustration of addition and subtraction.

Plan A

Plan B

The height of the fence is calculated by subtracting the length below ground level from the length of the fence. So, we have:

                                         Take LCM

Hence, the height of fence is in plan A  and in plan B

The fence in plan B is taller because is greater than

The difference (d) in the heights is:

Take LCM

Fence in plan B is taller by feet.

I will recommend the fence in plan B because:

For (5), we have:

The remainder is the difference in the total amount and the amount they paid:

Hence, they charge $136.88

Read more about addition and subtraction at:

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answer: sine

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