A set of four stars form the shape of a rectangle in space. The length of the rectangle is approximately 20,400,000 miles, while the width of the rectangle is approximately 6,030,000 miles. What is the approximate area of the rectangle?

Question

A.
1.23012 × 1014 square miles
B.
1.23012 × 1013 square miles
C.
1.23012 × 1042 square miles
D.
12.3012 × 1012 square miles

Answer 1

To find the area of a rectangle, you multiply its length by its width.

Given:

• Length = 20,400,000 miles
• Width = 6,030,000 miles

Calculating the area:

\[ \text{Area} = \text{Length} \times \text{Width} \] \[ = 20,400,000 , \text{miles} \times 6,030,000 , \text{miles} \]

First, let's multiply the numbers:

\[ 20,400,000 \times 6,030,000 = 123,012,000,000,000 , \text{square miles} \]

Now, we can express this in scientific notation:

\[ 123,012,000,000,000 = 1.23012 \times 10^{14} , \text{square miles} \]

So the approximate area of the rectangle is:

\[ \text{Area} \approx 1.23012 \times 10^{14} , \text{square miles} \]

Thus, the correct answer is:

A. 1.23012 × 10^14 square miles