Unit 8, Lesson 2
Side Lengths and Areas
Accelerated 7
Practice
Problem 1
A square has an area of 81 square feet. Select all the expressions that equal the side length of this square, in feet.
\(\frac{81}{2}\)
\(\sqrt{81}\)
9
\(\sqrt{9}\)
3
Problem 2
Write the exact value of the side length, in units, of a square whose area in square units is:
-
36
-
37
-
\(\frac{100}{9}\)
-
\(\frac25\)
-
0.0001
-
0.11
Problem 3
Find the area of a square if its side length is:
-
\(\frac15\) centimeter
-
\(\frac37\) unit
-
\(\frac{11}{8}\) inches
-
0.1 meter
-
3.5 centimeters
Here is a table showing the areas of the seven largest countries.
- How much larger is Russia than Canada?
-
The Asian countries on this list are Russia, China, and India. The American countries are Canada, the United States, and Brazil. Which has the greater total area: the three Asian countries, or the three American countries?
| country | area (km2) |
|---|---|
| Russia | \(1.71 \times 10^7\) |
| Canada | \(9.98 \times 10^6\) |
| China | \(9.60 \times 10^6\) |
| United States | \(9.53 \times 10^6\) |
| Brazil | \(8.52 \times 10^6\) |
| Australia | \(6.79 \times 10^6\) |
| India | \(3.29 \times 10^6\) |
Problem 5
Select all the expressions that are equivalent to \(10^{\text-6}\).
\(\frac{1}{1,000,000}\)
\(\frac{\text-1}{1,000,000}\)
\(\frac{1}{10^6}\)
\(10^{8} \boldcdot 10^{\text-2}\)
\(\left(\frac{1}{10}\right)^6\)
\(\frac{1}{10 \boldcdot 10 \boldcdot 10 \boldcdot 10 \boldcdot 10 \boldcdot 10}\)