Finding the Area of a Rectangle with Given Dimensions
We are given a rectangle with a height of 7a<sup>2</sup> and a width of a<sup>4</sup> + 5a<sup>2</sup> + 4. To find the area of the rectangle, we can use the formula:
Area = Height x Width
Let's substitute the given values:
Area = (7a<sup>2</sup>) x (a<sup>4</sup> + 5a<sup>2</sup> + 4)
Now, we can simplify the expression by distributing the 7a<sup>2</sup>:
Area = 7a<sup>2</sup> * a<sup>4</sup> + 7a<sup>2</sup> * 5a<sup>2</sup> + 7a<sup>2</sup> * 4
Area = 7a<sup>6</sup> + 35a<sup>4</sup> + 28a<sup>2</sup>
Therefore, the area of the rectangle is 7a<sup>6</sup> + 35a<sup>4</sup> + 28a<sup>2</sup>.