Math Problem Statement

A parallelogram is divided into two parts A and B. Which of the following statements is correct? Options: A) B has a larger perimeter than A B) B has a smaller perimeter than A C) B has a smaller area than A D) A and B have the same area E) A and B have the same perimeter

Solution

The question on the image is about a parallelogram divided into two parts, labeled as areas A and B, with various statements about their areas and perimeters. Here is an analysis and solution to determine the correct statement.

Translation of Options:

  1. A) B has a larger perimeter than A
  2. B) B has a smaller perimeter than A
  3. C) B has a smaller area than A
  4. D) A and B have the same area
  5. E) A and B have the same perimeter

Solution:

Since this is a paralle

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Math Problem Analysis

Mathematical Concepts

Geometry
Parallelogram Properties
Area Comparison

Formulas

Area of a parallelogram = base * height

Theorems

Area invariance in parallelograms

Suitable Grade Level

Grades 7-9