The area of each square is twice the area of the next smaller square drawn in it. If the area of the smallest square is 3 square centimeters, what is the area of the largest square
no idea how many squares you have, but start counting. If there are n squares larger than the smallest, then the area of the largest is 3*2^n. The areas are:
3,6,12,24,48,96,...
If you want to ask questions about diagrams, you gotta describe what's going on here.
The floor of a dining hall was covered with 150 tiles of 1 square unit.
What is the perimeter and area of the hall, if the shape of the floor is a square?
To find the area of the largest square, we can use the given information that each square's area is twice the area of the next smaller square. Starting with the area of the smallest square, which is given as 3 square centimeters, we can use multiplication to find the area of each subsequent square, keeping in mind that each one is twice the size of the previous one.
Let's go step by step:
1. Start with the area of the smallest square, given as 3 square centimeters.
2. The area of the next square would be twice the area of the smallest square, which is 3 x 2 = 6 square centimeters.
3. Continuing this pattern, the area of the next square would be twice the area of the previous square, so the area would be 6 x 2 = 12 square centimeters.
4. We repeat this process until we find the area of the largest square. Since each square is twice the size of the previous one, we can double the area at each step.
- Area of the smallest square: 3 square centimeters
- Area of the next square: 6 square centimeters
- Area of the next square: 12 square centimeters
- Area of the next square: 24 square centimeters
- Area of the next square: 48 square centimeters
- Area of the next square: 96 square centimeters
- ...
As we can see, the areas are increasing exponentially by a factor of 2. Since there is no specified limit, we can continue doubling the area infinitely. Therefore, there is no specific value for the area of the largest square.