Math Problem Statement

Find the area and perimeter of a rectangular poster measuring 0.73 m by 1.1 m.

Solution

The problem asks to find the area and perimeter of a rectangular poster with dimensions 0.73 m by 1.1 m. Let's solve this step by step.

1. Perimeter (P)

The perimeter PP of a rectangle is calculated by the formula: P=2×(length+width)P = 2 \times (\text{length} + \text{width}) Substituting the given dimensions: P=2×(0.73m+1.1m)=2×1.83m=3.66mP = 2 \times (0.73\, \text{m} + 1.1\, \text{m}) = 2 \times 1.83\, \text{m} = 3.66\, \text{m}

So, the perimeter is 3.66 m.

2. Area (A)

The area AA of a rectangle is calculated by the formula: A=length×widthA = \text{length} \times \text{width} Substituting the given dimensions: A=0.73m×1.1m=0.803m2A = 0.73\, \text{m} \times 1.1\, \text{m} = 0.803\, \text{m}^2

So, the area is 0.803 m².

Answer choices:

  • The perimeter is 3.66 m (option c).
  • The area is 0.803 m² (option e).

Let me know if you'd like further details or explanations.

Here are 5 related questions for practice:

  1. What would be the area of a rectangle with dimensions 2 m by 3 m?
  2. How would the perimeter change if one side is doubled while the other stays the same?
  3. What is the difference between perimeter and area in practical applications?
  4. How would you calculate the area of a square if only the perimeter is given?
  5. Can you find the perimeter of a triangle if you know all its side lengths?

Tip: Always remember that area is measured in square units, while perimeter is measured in linear units.

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter
Area
Rectangles

Formulas

Perimeter of a rectangle: P = 2 × (length + width)
Area of a rectangle: A = length × width

Theorems

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Suitable Grade Level

Grades 6-8