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PROBLEM

3) A gardner is building a fence for her garden bed. The length of each side will be 5x+25 x+2 feet. Write a polynomial expression that represents the total number of fencing, in feet, she would need.

STEP 1

What is this asking?
How much fencing does a gardener need if her square garden has sides of length 5x+25x + 2 feet?
Watch out!
Don't forget that a square has four sides!

STEP 2

1. Find the length of one side.
2. Multiply by four to find the total fencing needed.

STEP 3

We are told that each side of the garden is 5x+25x + 2 feet long.
So, the length of one side is 5x+25x + 2 feet.

STEP 4

A square has four equal sides.
Since we know the length of one side, we can find the total fencing needed by multiplying the length of one side by four:
4(5x+2).4 \cdot (5x + 2).

STEP 5

Distribute the 44 to both terms inside the parentheses:
4(5x+2)=45x+42.4 \cdot (5x + 2) = 4 \cdot 5x + 4 \cdot 2.

STEP 6

Multiply the numbers:
45x+42=20x+8.4 \cdot 5x + 4 \cdot 2 = 20x + 8.

SOLUTION

The gardener needs 20x+820x + 8 feet of fencing.

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