Final answer:
The equation for the area of a rectangle is A = L × W. To represent the area as a sum, we can express the length and width as the sum of two numbers and expand the equation.
Step-by-step explanation:
The equation for the area of a rectangle is given by:
A = L × W
Where A is the area, L is the length, and W is the width of the rectangle. This equation represents the area as a product, since it is obtained by multiplying the length and width.
To represent the area as a sum instead of a product, we can express the length and width as the sum of two numbers:
L = x + y
W = a + b
Substituting these values into the equation for the area, we get:
A = (x + y) × (a + b)
Expanding the equation, we have:
A = xa + xb + ya + yb
This equation represents the area as a sum of products.