Final answer:
To find the dimensions of a square and rectangle using algebra tiles, follow these steps: 1. Find the dimensions of the larger square by multiplying the dimensions of the first square by the scale factor. 2. Compare the areas of the two squares by writing a ratio of the areas.
Step-by-step explanation:
To find the dimensions of a square and rectangle using algebra tiles, you can follow these steps:
- First, find the dimensions of the larger square. The problem states that the dimensions are twice the first square. You can use this information to figure out the scale factor, and this means they are scaled up by a factor of 2. The side length of the larger square is: 4 inches x 2 = 8 inches.
- Then, compare the areas of the two squares. Write a ratio comparing the two areas. In this case, the area of the larger square will be 8 inches x 8 inches = 64 square inches, and the area of the smaller square will be 4 inches x 4 inches = 16 square inches. The ratio of the two areas is 64 square inches : 16 square inches, which simplifies to 4 : 1.