Geometry

Question Analysis

The main focus is using the area formula for parallelograms () to calculate the areas of two given parallelograms and then comparing these areas to determine which one is larger.

 

Key Concept Explanation

The area of a parallelogram is calculated by multiplying the base by the height (). This is because a parallelogram can be transformed into a rectangle with the same base and height, and the area of a rectangle is found by multiplying its length (base) and width (height).

 

Step - by - Step Solution

1. Calculate the area of the first parallelogram:

For the first parallelogram, the base and the height .

Using the formula , we have .

2. Calculate the area of the second parallelogram:

For the second parallelogram, the base and the height