Math Problem Statement

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

Solution

To solve the problem in the image, we are tasked with finding both the area and perimeter of a rectangular poster with dimensions 0.73 meters by 1.1 meters.

Step-by-step Solution:

1. Area (A) of a rectangle:

The formula for the area AA of a rectangle is: A=length×widthA = \text{length} \times \text{width} Given:

  • Length = 1.1 meters
  • Width = 0.73 meters

Thus: A=1.1m×0.73m=0.803m2A = 1.1 \, \text{m} \times 0.73 \, \text{m} = 0.803 \, \text{m}^2

2. Perimeter (P) of a rectangle:

The formula for the perimeter PP of a rectangle is: P=2×(length+width)P = 2 \times (\text{length} + \text{width}) Given:

  • Length = 1.1 meters
  • Width = 0.73 meters

Thus: P=2×(1.1m+0.73m)=2×1.83m=3.66mP = 2 \times (1.1 \, \text{m} + 0.73 \, \text{m}) = 2 \times 1.83 \, \text{m} = 3.66 \, \text{m}

Final Results:

  • The area AA is 0.803m20.803 \, \text{m}^2.
  • The perimeter PP is 3.66m3.66 \, \text{m}.

Answer choices:

  • The correct answer for the area is option e. 0.803 m².
  • The correct answer for the perimeter is option c. 3.66 m.

Would you like more details or have any questions? Here are some related questions for further practice:

  1. What is the formula for the area of a triangle?
  2. How do you calculate the diagonal of a rectangle using its length and width?
  3. What is the perimeter of a square with side length 0.73 meters?
  4. If the dimensions were doubled, how would the area and perimeter change?
  5. How can the area of a rectangle be used in real-life applications?

Tip: Always double-check units when working with area (square units) and perimeter (linear units) to avoid confusion.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area
Perimeter

Formulas

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

Theorems

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Suitable Grade Level

Grades 5-7