The sum of the areas of the 2 rectangles, given the area of each rectangle is 2x² + 12x + 12
How to calculate the sum of the areas of the rectangles?
First, we shall high-light the areas of the two rectangles. This is shown below:
- Area of first rectangle = x² + 5x
- Area of first rectangle = x² + 7x + 12
- Sum of areas of the two rectangles =?
The sum of the areas of the 2 rectangles can be calculated as shown below:
Sum of areas of the two rectangles = Area of first rectangle + Area of first rectangle
= (x² + 5x) + (x² + 7x + 12)
Clear bracket
= x² + 5x + x² + 7x + 12
Rearrange
= x² + x² + 5x + 7x + 12
= 2x² + 12x + 12
Thus, we can conclude that the sum of the areas of the two rectangle is 2x² + 12x + 12
Complete question:
Two rectangles have different areas. If the area of the first is x^2 + 5x and the area of the second triangle is x^2 + 7x + 12 what is the sum of the areas of the 2 rectangles