Question

for each of the following generic rectangles, find the dimensions (length and width) and wright the area as the product of the dimensions and as a sum​

Answer 1

The dimensions (length and width) are:

Length = (y - 4) units.

Width = (3y + 5) units.

The area as the product of the dimensions and as a sum is
`3y^2-7y-20` square units.

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LW

Where:

• A represent the area of a rectangle.
• W represent the width of a rectangle.
• L represent the length of a rectangle.

Based on the generic rectangle shown above, the length of the rectangle is given by;

5y - 20 = 5(y - 4)

Length = (y - 4) units.

`3y^2+5y` = y(3y + 5)

Width = (3y + 5) units.

By substituting the given side lengths into the formula for the area of a rectangle, we have the following;

Area of rectangle = (y - 4)(3y + 5)

Area of rectangle =
`3y^2-7y-20` square units.