Understanding the Area of a Rectangle

The video tutorial explains how to calculate the area of a rectangle using the formula area = base x height. It covers basic calculations with given dimensions and reverse calculations to find unknown dimensions. Additionally, it demonstrates how to find the area when given a diagonal and one side using the Pythagorean theorem.

What is the formula for calculating the area of a rectangle?

• Area = base + height

• Area = base / height

• Area = base x height

• Area = base - height

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

If a rectangle has a base of 10 units and a height of 8 units, what is its area?

• 80 square units

• 100 square units

• 18 square units

• 28 square units

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

When given an area of 100 square units and a height of 5 units, how do you find the base?

• Subtract height from area

• Add area and height

• Multiply area by height

• Divide area by height

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

What is the base of a rectangle if the area is 100 square units and the height is 5 units?

• 20 units

• 15 units

• 30 units

• 25 units

Tags

CCSS.8.G.B.8

Which theorem is used to find the base of a rectangle when given the diagonal and one side?

• Pythagorean theorem

• Area theorem

• Triangle theorem

• Rectangle theorem

Tags

CCSS.8.G.B.7

If a rectangle has a diagonal of 15 units and a height of 9 units, what is the length of the base?

• 10 units

• 11 units

• 12 units

• 13 units

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

What is the area of a rectangle with a base of 12 units and a height of 9 units?

• 96 square units

• 100 square units

• 108 square units

• 120 square units

Tags

CCSS.8.G.B.8

How do you calculate the square of the hypotenuse in the Pythagorean theorem?

• a^2 + b^2 = c

• a^2 + b^2 = c^2

• a + b = c^2

• a^2 - b^2 = c^2

Tags

CCSS.8.G.B.8

What is the value of b if a^2 + b^2 = c^2, where a = 9 and c = 15?

• 11

• 13

• 12

• 14

Tags

CCSS.8.G.B.8

What is the first step in solving for the base using the Pythagorean theorem?

• Subtract a^2 from c^2

• Multiply a by c

• Divide c by a

• Add a^2 to c^2

Tags

CCSS.8.G.B.8