Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the formula to calculate the area of a rectangle? a. base × hei…

Question

what is the formula to calculate the area of a rectangle?
a. base × height × width
b. side length × side length
c. length + width
d. length × width

Explanation:

Brief Explanations
  • Option a: The formula \(base\times height\times width\) is for the volume of a rectangular - prism (a 3 - D shape), not the area of a 2 - D rectangle.
  • Option b: The formula \(side\ length\times side\ length\) is for the area of a square (a special case of a rectangle where length = width, but it's not the general formula for a rectangle).
  • Option c: The formula \(length + width\) gives the sum of two sides, not the area. Area is a measure of the space enclosed, and addition does not calculate that for a rectangle.
  • Option d: The area of a rectangle is calculated by multiplying its length and width. If a rectangle has length \(l\) and width \(w\), the area \(A=l\times w\).

Answer:

d. length × width