Answered

John is building a fence around his garden and has 150 feet of
fencing. The length of his garden is 40 feet and the width of
his garden is 50 feet. Does John have enough fencing to go
around the perimeter of his garden? Explain why or why not.



Answer :

Wallameg000

Answer:

No

Step-by-step explanation:

Perimeter measures the distance around a shape.

Perimeter Formula

The perimeter is 2w + 2l = P, where w is the width and l is the length. This formula is used because together, it adds together the distance of every side.

If wanted, it can be rewritten as w + w + l + l = P. This form of the formula shows all 4 sides being added together.

Inequality

We can set up an inequality to represent the situation. We know that the perimeter must be less than or equal to 150 because that is the amount of fence John has. So, we can plug the information that we know into the formula.

  • 2(50) + 2(40) ≤ 150

Then, solve.

  • 180 ≤ 150

Since this statement is not true, we know that these dimensions are not possible given the amount of fencing.

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