High School

The area of the rectangle is expressed by [tex]12m^{18}[/tex] square feet. If the width of the rectangle is 6 feet, choose an expression to represent the length of the rectangle:

A) [tex]3m[/tex] square feet
B) [tex]2m + 3[/tex] square feet
C) [tex]2m[/tex] square feet
D) [tex]1.5m[/tex] square feet

Answer :

Final answer:

Given that the area of a rectangle is 12m² and its width is 6 feet, we can use the formula 'Area = length * width' to find the length of the rectangle. After plugging the given values into this formula and isolating 'length', we find that the length is 2m feet (Option C).

Explanation:

The problem is asking us to express the length of a rectangle given that its area is 12m^2 and its width is 6 feet. To find the length of a rectangle using its area and width, we'll use the formula for the area of a rectangle, which states the area (A) equals the length (L) times the width (W). So, we know that:

A = L * W

Plugging the given values into this equation:

12m² = L * 6 feet

To find the length, we'll isolate L by dividing both sides by 6:

L = 12m² / 6 feet

Doing the division, we find:

L = 2m feet

Therefore, the correct expression for the rectangle's length is C) 2m square feet.

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