Math Problem Statement

Fatima’s music teacher is planning a storage area for the band’s instruments. The length of the space is 27 feet, and the width of the space is 9 feet. What is the area of the space for the instruments?

Solution

To find the area of the space for the instruments, we can use the formula for the area of a rectangle:

Area=length×width\text{Area} = \text{length} \times \text{width}

Given:

  • Length = 27 feet
  • Width = 9 feet

Plugging in the values:

Area=27feet×9feet=243square feet\text{Area} = 27 \, \text{feet} \times 9 \, \text{feet} = 243 \, \text{square feet}

Thus, the area of the space for the instruments is 243 square feet.

Would you like a more detailed explanation, or do you have any further questions?

Here are some related questions to explore:

  1. What would be the area if the width were doubled?
  2. How does changing only the length impact the area?
  3. What is the perimeter of the space?
  4. If the area needs to be increased to 300 square feet, what could the new length be if the width remains the same?
  5. How would the area calculation change if the space were an irregular shape?

Tip: Remember, for any rectangular space, multiplying the length by the width gives the area in square units.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation
Rectangles

Formulas

Area = length × width

Theorems

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Suitable Grade Level

Grade 5-6