Geometry: Area and Length Problems

Geometry: Area and Length Problems

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial discusses a geometry problem involving two squares and a shaded area. It begins by introducing the problem and given data, then proceeds to calculate the side of the square. The tutorial explains how to find the area of a triangle using given dimensions and applies the Pythagorean theorem to find a missing side. It also discusses the concept of similar triangles and their proportions. Finally, the tutorial concludes with the calculation of the shaded area, providing a step-by-step solution to the problem.

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11 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the given areas of the two parts in the problem?

15 cm² and 25 cm²

10 cm² and 20 cm²

9 cm² and 27 cm²

12 cm² and 24 cm²

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total area of the smaller square?

45 cm²

36 cm²

30 cm²

40 cm²

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the side length of the smaller square?

6 cm

7 cm

8 cm

5 cm

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of X in the triangle?

3 cm

2 cm

4 cm

5 cm

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What theorem is used to find the length of CH?

Pythagoras Theorem

Fermat's Theorem

Thales Theorem

Euclid's Theorem

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of CH?

3√5 cm

4√5 cm

6√5 cm

5√5 cm

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which triangles are similar in the problem?

Triangle XYZ and Triangle PQR

Triangle LMN and Triangle OPQ

Triangle CGH and Triangle FBH

Triangle ABC and Triangle DEF

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