Area and Perimeter of Polygons

This video tutorial covers level 2 application problems involving polynomials, focusing on calculating the area and perimeter of geometric shapes like rectangles and triangles. It explains how to express these calculations as polynomials in standard form and highlights common mistakes, especially in subtraction. The tutorial also includes a complex problem involving the calculation of a shaded area by subtracting the area of a smaller rectangle from a larger one.

What is the first step in solving level 2 application problems involving polynomials?

• Drawing the geometric shape

• Identifying the type of polynomial

• Understanding the problem context

• Memorizing polynomial formulas

How do you find the perimeter of a rectangle using polynomial expressions?

• Divide the length by the width

• Subtract the length from the width

• Multiply all sides

• Add all sides

If a rectangle has sides 2x - 7 and x + 4, what is the expression for its perimeter?

• 8x - 14

• 6x - 6

• 4x - 6

• 6x - 14

What is the formula for the area of a rectangle?

• Length + Width

• 2 x (Length + Width)

• Length x Width

• Length - Width

How do you express the area of a rectangle with sides 2x - 7 and x + 4 as a polynomial?

• 2x^2 + 7x - 28

• 2x^2 + x - 28

• x^2 + 8x - 28

• 2x^2 + 8x - 28

What is the perimeter of a triangle with sides x - 7?

• x + 21

• 3x - 21

• x - 21

• 3x + 21

How do you calculate the area of a triangle using polynomials?

• Base - Height

• Base + Height

• Base x Height

• 1/2 x Base x Height

What is the expression for the area of a triangle with base x - 7 and height 2x + 3?

• 2x^2 - 11x - 21

• 2x^2 + 11x + 21

• x^2 + 11x + 21

• x^2 - 11x - 21

How do you find the shaded area when given a large rectangle and a small rectangle?

• Divide the area of the large rectangle by the small rectangle

• Multiply the areas of both rectangles

• Subtract the area of the small rectangle from the large rectangle

• Add the areas of both rectangles

What is the expression for the shaded area if the large rectangle is 2x - 7 by x + 4 and the small rectangle is x + 1 by x - 2?

• x^2 + 2x - 26

• x^2 - 2x + 26

• x^2 + 2x + 26

• x^2 - 2x - 26