Multiple choice

You are buying a carpet for a rectangular room. The carpet can be at most 12 m lone and 6 m wide. Which inequality represents the area of the carpet is square metres?

  1. $\displaystyle A\leq 36$
  2. $\displaystyle A\geq 36$
  3. $\displaystyle A\leq 72$
  4. $\displaystyle A\geq 72$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The area A is length times width. Since length is at most 12 and width is at most 6, the maximum area is 12 * 6 = 72. Thus, A <= 72.

AI explanation

The area of a rectangle is found by the formula length times width, so the maximum area is 12 m times 6 m. This multiplication gives an area of 72 square meters. Since the carpet can be at most these dimensions, the area must be less than or equal to this maximum, resulting in the inequality A <= 72.

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