Considering the defintion of area of a rectangle and multiplication in scientific notation, the area of the lake is 7.2×10⁷ m².
Area is the measure of the region or surface enclosed by a geometric figure.
A rectangle is a flat geometric figure with four sides, of which two sides that are opposite parallel to each other have the same length and the remaining two have another length.
The area of a rectangle is calculated from the two different sides (a and b). It is the product of the two contiguous sides of the rectangle:
Area of a rectangle= a×b
where a and b are the measures of the two sides.
In this case, you know that a rectangular lake has:
Then, the area of the lake can be calculated as:
Area of the lake= 6.0×10³ m× 1.2×10⁴ m
To multiply numbers in scientific notation, you multiply the numbers that are not powers of 10 and add the exponents that are powers of ten. In this case:
Area of the lake= (6.0× 1.2)×10³⁺⁴ m²
Area of the lake= 7.2×10⁷ m²
Finally, the area of the lake is 7.2×10⁷ m².
Learn more about area of a rectangle:
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