Exploring Area Calculations of Tilted Squares

This video tutorial covers the concept of finding the area of tilted squares and introduces square roots. It begins with a review of calculating the area of rectangles and triangles, then demonstrates how to find the area of tilted squares using a decomposition method. The video also explains how to determine side lengths and areas of squares using square roots, and concludes with a discussion on finding exact values of square roots and their properties.

What is the formula to find the area of a rectangle?

• Base minus height

• Base divided by height

• Base plus height

• Base times height

Tags

CCSS.6.G.A.1

How do you find the area of a triangle?

• One half base times height

• Base plus height

• Base times height

• Base divided by height

Tags

CCSS.6.G.A.1

What is the area of a tilted square if the area of the enclosing non-tilted square is 25 and the total area of the triangles is 8?

• 33 square units

• 17 square units

• 25 square units

• 8 square units

Tags

CCSS.6.G.A.1

What is the area of a triangle with a base of 4 and a height of 1?

• 8

• 1

• 2

• 4

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

If the side length of a square is the square root of 11, what is the area of the square?

• 11

• 22

• 3.2

• 121

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Which of the following is the side length of square B if its area is 20 square units?

• 4.2

• Square root of 26

• Square root of 11

• 5.1

Tags

CCSS.8.NS.A.2

What is the approximate value of the square root of 26?

• 4.2

• 5.1

• 3.2

• 6.0

Tags

CCSS.8.EE.A.2

Which of the following is the exact value of the square root of 16?

• 3

• 4

• 5

• 6

Tags

CCSS.8.NS.A.2

The square root of 31 lies between which two integers?

• 3 and 4

• 4 and 5

• 6 and 7

• 5 and 6

Tags

CCSS.8.NS.A.2

What is the square root of 0.17 approximately between?

• 1 and 2

• 2 and 3

• 0 and 1

• 3 and 4

Tags

CCSS.8.NS.A.2