Calculating Areas of Composite Shapes

Calculating Areas of Composite Shapes

Assessment

Interactive Video

Mathematics

6th - 7th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to calculate the area of a composite object consisting of a rectangle and a semicircle. It details the process of finding the area of each shape separately using formulas, then combining these areas to get the total area. The tutorial also covers how to handle missing measurements by deducing the radius from the given dimensions. Finally, it demonstrates rounding the calculated area to the nearest whole number.

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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main objective of the problem discussed in the video?

To calculate the area of a composite object

To measure the length of a line segment

To find the perimeter of a rectangle

To determine the volume of a semicircle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to calculate the area of a semicircle?

Pi * radius^2

Pi * diameter

Pi * radius^2 / 2

2 * Pi * radius

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the area of a rectangle?

Length / Width

2 * (Length + Width)

Length * Width

Length + Width

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after finding the areas of the semicircle and rectangle?

Subtract the area of the rectangle from the semicircle

Multiply the areas of the semicircle and rectangle

Add the areas of the semicircle and rectangle

Divide the area of the semicircle by the rectangle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the radius of the semicircle determined?

By calculating the area

By dividing the length by the width

By using the diameter of the circle

By measuring the circumference

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of Pi used in the calculations?

3.0

3.142

3.14159

3.14

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the area of the rectangle given its dimensions?

54 square cm

108 square cm

72 square cm

36 square cm

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in finding the area of the object?

Subtracting the area of the rectangle from the semicircle

Rounding the total area to the nearest whole number

Multiplying the total area by two

Dividing the total area by the radius

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate total area of the object?

125 square cm

122 square cm

120 square cm

130 square cm