Math Problem Statement

Formelen A = l · b gir arealet av et rektangel med lengde l og bredde b. Et rektangel har lengden 4,8 m og arealet 16,8 m^2. Finn bredden av rektanglet.

Solution

The problem asks to find the width bb of a rectangle given its length ll and area AA. The formula for the area of a rectangle is:

A=lbA = l \cdot b

From the text:

  • l=4.8ml = 4.8 \, \text{m}
  • A=16.8m2A = 16.8 \, \text{m}^2

Solving for bb:

Rearrange the formula for bb: b=Alb = \frac{A}{l}

Substitute the given values: b=16.84.8b = \frac{16.8}{4.8}

Perform the division: b=3.5mb = 3.5 \, \text{m}

Final Answer:

The width of the rectangle is 3.5 meters.


Would you like further clarification or additional details?

Related Questions:

  1. What is the formula for the perimeter of a rectangle, and how would you calculate it using the dimensions here?
  2. If the length increased by 10%, how would the area change if the width stayed constant?
  3. Can you find the diagonal of this rectangle using the Pythagorean theorem?
  4. What is the relationship between the area and the aspect ratio (length-to-width ratio)?
  5. How would the solution change if the area was given in square centimeters instead of square meters?

Tip:

Always check the units when solving geometry problems to ensure consistency throughout the calculations!

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Math Problem Analysis

Mathematical Concepts

Geometry
Algebra

Formulas

Area of a rectangle: A = l · b

Theorems

Division property of equality

Suitable Grade Level

Grades 6-8