Geometry

Question Analysis

The main focus is applying the area formula for parallelograms to find the areas of two given parallelograms and then comparing these areas to determine which parallelogram has a larger 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 derived from the idea that a parallelogram can be re - arranged 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 substitute the values: .

2. Calculate the area of the second parallelogram:

For the second parallelogram, the base  and the height .

Using the formula

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