Now that you can simplify polynomials, you will apply your knowledge to solving perimeter problems.

Can you work this problem? Kevin is going to frame a rectangular picture with dimensions shown. How much wood does he need to make a frame?

a rectangle with a length of 4 x plus 8 and a length of 2x + 3 is shown

What do you do to find a perimeter of a rectangle? Use your Mathematics Chart to find the formula.

The formula is P = 2l + 2w or P = 2(l + w).

If we use the second formula, what is 2(4x + 8 + 2x + 3)? Interactive popup. Assistance may be required.

Check Your Answer

12x +22 Close Pop Up

Let's try another one. Drew is making a banner in the shape of a triangle. He wants to line the banner with a decorative border. How long will the border be?

a triangle with 2 sides that measure 12b minus 8 and a 3rd side with a  length of 9 b plus 8 is shown

How do you find the perimeter of a triangle? That's right! Add all of the sides.

So what is (12b – 8) + (12b – 8) + (9b + 8)? Interactive popup. Assistance may be required.

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33b - 8 Close Pop Up

Here's one last perimeter problem. Sharon made a rag rug for her bedroom. If the square rug is 2x + 5 units on each side, what is the perimeter?

How do you find the perimeter of a square? Yes, P = 4s is the formula.

So what is 4(2x + 5)? Interactive popup. Assistance may be required.

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8x + 20 Close Pop Up