Math Problem Statement

A rectangular garden is 24 feet long and 18 feet wide.

What is the area of this garden?

Responses

42 square feet

42 square feet

84 square feet

84 square feet

432 square feet

432 square feet

450 square feet

Solution

To find the area of a rectangular garden, we use the formula:

Area=Length×Width\text{Area} = \text{Length} \times \text{Width}

Given:

  • Length = 24 feet
  • Width = 18 feet

Substituting these values into the formula:

Area=24×18=432square feet\text{Area} = 24 \times 18 = 432 \, \text{square feet}

Thus, the correct answer is 432 square feet.

Would you like more details or have any questions? Here are a few related questions to explore:

  1. How do you calculate the perimeter of the garden?
  2. How can we convert the area from square feet to square meters?
  3. What is the difference between area and perimeter?
  4. If we want to double the area of the garden, what would the new dimensions be?
  5. How do you calculate the area of a circle with the same perimeter as this garden?

Tip: Always double-check the units when calculating area or perimeter to ensure consistency.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Rectangle

Formulas

Area = Length × Width

Theorems

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Suitable Grade Level

Grades 4-6