Questions: Product Equal to a Sum Write the area as a product equal to a sum.

Transcript text: Product Equal to a Sum Write the area as a product equal to a sum.

Solution

Solution Steps

Step 1: Find the area as a product.

The dimensions of the rectangle are (7x - 2) and (x - 8). The area as a product is (7x - 2)(x - 8).

Step 2: Find the area as a sum.

The area of each small rectangle within the large rectangle can be found by multiplying the corresponding side lengths. The four smaller rectangles have areas: 7x * x = 7x², -2 * x = -2x, 7x * -8 = -56x, and -2 * -8 = 16. The total area as a sum is 7x² - 2x - 56x + 16.

Step 3: Simplify the sum.

Combine the like terms -2x and -56x: -2x - 56x = -58x. So the simplified sum representing the area is 7x² - 58x + 16.