Find Perimeter and Area Using Polynomials

Perimeter

The distance AROUND a polygon

How do we find perimeter?

We find perimeter by counting the units around the shape or adding the length of all of the sides together

You can also add the sides together to find the perimeter.

Multiple Choice

What is the PERIMETER of this shape?

• 20 inches

• 21 inches

• 14 inches

• 6 inches

Multiple Choice

What is the perimeter of this shape?

• 4 units

• 10 units

• 20 units

• 6 units

Multiple Choice

What is the perimeter of this rectangle? 

• $$8x^2+24$$  

  $$units^2$$

• $$12x+22$$  

  $$units$$

•   $$8x^2+28x+24$$   $$units^2$$

• $$6x+11$$  

  $$units$$

Multiple Choice

What is the Perimeter?

• 3x - 3 inches

• 6x - 6 inches

• 3x - 6 inches

• 6x - 3 inches

Multiple Choice

The perimeter of the
 triangle is  $$10x+20$$  . Find the length of the missing side.

• $$6x+10$$  

• $$15x+30$$  

• $$5x+10$$  

• $$5x-10$$  

When do we need to find the perimeter

• Solving how much fence we need to go around a yard

• Solving how many tiles are needed to go around a swimming pool

• Solving how long a race track is around a field

• Solving how long the boundaries are around a soccer field

Area

The amount of space a shape takes up

Multiple Choice

What is the Area?

• 2x² - 3x - 18 inches²
• 2x² + 3x + 18 inches²
• 2x² + 9x - 18 inches²
• 2x² - 9x - 18 inches²

When do we solve for area?

When we want to know how much space a shape takes up.

Multiple Choice

What is the area of the rectangle.

• 32

• 32 feet

• 32 square units

• 32 square feet

Multiple Choice

^{What is the area?}

• 14 square feet

• 14 square yards

• 40 square feet

• 40 square yards

Multiple Choice

What is the area of this rectangle? 

• $$8x^2+24$$  

  $$units^2$$

• $$12x+22$$  

  $$units$$

•   $$8x^2+28x+24$$   $$units^2$$

• $$6x+11$$  

  $$units$$

Multiple Choice

What is the Area?

• $$2x^2-3x-18$$ sq, in.

• $$2x^2+3x+18$$ sq. in.

• $$2x^2+9x-18$$ sq. in.

• $$2x^2-9x-18$$ sq. in.

When do we need to find the area?

• Solving how much paint we need to paint a wall

• Solving how much flooring we need to cover a floor

• Solving how big a blanket needs to be to fit a bed

• Solving for a case to fit on a phone or tablet