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Geometry and Area Concepts

Geometry and Area Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video presents a geometric puzzle involving multiple squares of different sizes. The task is to find the area of a large blue square that touches the corners of smaller squares. The solution involves understanding the geometric relationships between the squares and using the Pythagorean theorem to calculate the area of the large square. The video encourages viewers to pause and solve the puzzle before revealing the step-by-step solution, which concludes with the area of the large square being 45 square units.

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of puzzle is introduced in the video?

Algebraic

Arithmetic

Geometric

Logical

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of each side of the first square?

2 units

3 units

1.5 units

1 unit

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many squares are described in the puzzle before introducing the big blue square?

Two

Three

Five

Four

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where is the smallest square placed in the arrangement?

Top right corner

Middle

Bottom right corner

Top left corner

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the side of the fourth square?

1.5 units

2.5 units

1 unit

2 units

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the side of the second square?

1 unit

3 units

1.5 units

2 units

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the side of the third square?

3 units

2 units

1.5 units

1 unit

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