High School

Q10. A rectangle has a length of 7.4 × 10³ metres and a width of 6.0 × 10³ metres.

What is the area?

Answer :

To find the area of a rectangle, you use the formula:

[tex]\text{Area} = \text{Length} \times \text{Width}[/tex]

In this question, the length of the rectangle is given as [tex]7.4 \times 10^3[/tex] meters, and the width is [tex]6.0 \times 10^3[/tex] meters.

First, let's multiply the numbers:

[tex]7.4 \times 6.0 = 44.4[/tex]

Now, we multiply the powers of 10:

[tex]10^3 \times 10^3 = 10^{3+3} = 10^6[/tex]

Putting it all together, the area is:

[tex]44.4 \times 10^6[/tex]

Therefore, the area of the rectangle is [tex]44.4 \times 10^6[/tex] square meters, or [tex]4.44 \times 10^7[/tex] square meters when written in standard scientific notation. This means the rectangle covers a very large area.