Geometry

Question Analysis

The main focus is to use the area formula for parallelograms to calculate the areas of two given parallelograms and then compare them to determine which one has a greater area.

 

Key Concept Explanation

The area  of a parallelogram is calculated using the formula , where  is the base and  is the height. This formula is based on the concept that a parallelogram can be transformed into a rectangle with the same base and height, and the area of a rectangle is given by the product of its length and width (which are analogous to the base and height of the parallelogram).

 

Step - by - Step Solution

1. For the first parallelogram:

Given that the base  and the height .

Using the formula , we substitute the values: .

2. For the second parallelogram:

Given that the base  and the height