Short Answer 
The total area of the given pentagon, which consists of a rectangle and a triangle, is 42 square units. The rectangle has an area of 35 square units, and the triangle contributes an additional 7 square units.
Step 1: Identify the Shapes
The given diagram consists of two distinct shapes that form a pentagon: a rectangle and a triangle. Understanding these shapes is crucial for calculating the total area. The rectangle has defined dimensions, while the triangle’s dimensions will be determined from the same diagram.
Step 2: Calculate the Area of the Rectangle
The rectangle’s dimensions are given as 5 units in width and 7 units in length. To find the area of the rectangle, you apply the formula for area, which is length multiplied by width. Therefore, the area of the rectangle can be calculated as follows:
- Dimensions: 5 units (width) and 7 units (length)
- Area formula: A = length ‚àöo width
- Calculation: A = 5 ‚àöo 7 = 35 sq units
Step 3: Calculate the Area of the Triangle and Total Area
The triangle has a base of 7 units and a height of 2 units, which can also be calculated using the area formula for triangles. This area needs to be added to the area of the rectangle for the total area of the pentagon. Here’s how to calculate it:
- Dimensions: 7 units (base) and 2 units (height)
- Area formula: A = 1/2 ‚àöo base ‚àöo height
- Calculation: A = 1/2 ‚àöo 7 ‚àöo 2 = 7 sq units
- Total area: 35 sq units (rectangle) + 7 sq units (triangle) = 42 sq units