Understanding Area and Perimeter

This video tutorial covers the concepts of perimeter and area, explaining how to calculate them for various shapes, including rectangles and triangles. It demonstrates the use of variables in these calculations and provides examples of applying these concepts to real-world scenarios. The tutorial also addresses more complex problems involving subtraction of areas and emphasizes the importance of understanding units and coefficients in algebraic expressions.

What is the perimeter of a shape if its sides are 6 cm, 4 cm, 2 cm, and 7 cm?

• 19 cm

• 20 cm

• 26 cm

• 15 cm

If a side of a shape is represented by 5x^2 - 4x + 3, what is the term for the x coefficient when combined with 6x?

• 3x

• -1x

• 2x

• 1x

How do you calculate the area of a rectangle with sides 3x + 2 and 4x - 3?

• Divide the sides

• Add the sides

• Multiply the sides

• Subtract the sides

What is the coefficient of x^2 in the area expression for a rectangle with sides 3x + 2 and 4x - 3?

• 10

• 6

• 12

• 8

How do you find the area of a composite shape?

• Add all areas

• Subtract smaller area from larger area

• Multiply all areas

• Divide larger area by smaller area

What is the expression for the area not covered by a rug if the room is 4x + 3 by 5x + 7 and the rug is 3x - 1 by x + 4?

• 17x^2 + 32x + 25

• 20x^2 + 43x + 21

• 15x^2 + 22x + 17

• 3x^2 + 11x - 4

If a house has a perimeter expression of 5x + 32, what is the length of one side if x = 2?

• 16

• 12

• 14

• 10

What is the new length of a rectangle if its original length is W + 8 and it is decreased by 3?

• W + 11

• W + 5

• W + 8

• W + 3

How do you express the area of a kitchen with dimensions 10 and x?

• 10 + x

• x + 10

• x - 10

• 10x

What is the expression for the area of a kitchen and bathroom if the kitchen is 10x and the bathroom is 6x?

• 6x

• 10x

• 20x

• 16x