Question

.) Draw a Generic Rectangle with the side having dimensions of +4 and ( x ) and the bottom having dimensions of 2x and +3.

a. Find the area of each individual rectangle.
b. Express the total area as a SUM.
c. Express the total area as a PRODUC

Answer 1

The area of the larger square with side length 8 inches is four times the area of the smaller square with side length 4 inches, with a ratio of areas being 4:1.

Step-by-step explanation:

The student has presented a question about the comparison of areas between two squares, one with side lengths twice as long as the other. To begin with, the dimensions of the larger square are found by doubling the side length of the smaller square: 4 inches x 2 = 8 inches.

Next, we calculate the area of both squares. The area of the smaller square is 4 inches x 4 inches = 16 square inches, while the area of the larger square is 8 inches x 8 inches = 64 square inches.

Then, we compare the two areas by writing a ratio: 64 square inches (larger square) to 16 square inches (smaller square), which simplifies to a ratio of 4:1. This means that the area of the larger square is four times the area of the smaller square.