Answer :
To determine how long one side of each square should be, we need to follow a few steps. Here is a detailed, step-by-step solution to solve this problem:
1. Total Area of the Quilt:
Garth has a quilt with a total area of 1.44 square meters. This is the combined area of all the squares.
2. Number of Squares:
The quilt is made up of 62 identical squares.
3. Area of Each Square:
To find the area of one square, we divide the total area of the quilt by the number of squares. This gives us the area of one square:
[tex]\[ \text{Area of one square} = \frac{\text{Total area of the quilt}}{\text{Number of squares}} = \frac{1.44 \text{ square meters}}{62} \approx 0.0232258064516129 \text{ square meters} \][/tex]
4. Side Length of Each Square in Meters:
Since we know the area of each square, we can find the side length by taking the square root of the area:
[tex]\[ \text{Side length (in meters)} = \sqrt{0.0232258064516129} \approx 0.15240015240022858 \text{ meters} \][/tex]
5. Convert Side Length to Centimeters:
To get the side length in centimeters, we need to convert from meters to centimeters (since 1 meter = 100 centimeters):
[tex]\[ \text{Side length (in centimeters)} = 0.15240015240022858 \times 100 \approx 15.240015240022858 \text{ centimeters} \][/tex]
Therefore, to make a quilt consisting of 62 squares with a total area of 1.44 square meters, each side of the individual squares should be approximately 15.24 centimeters.
1. Total Area of the Quilt:
Garth has a quilt with a total area of 1.44 square meters. This is the combined area of all the squares.
2. Number of Squares:
The quilt is made up of 62 identical squares.
3. Area of Each Square:
To find the area of one square, we divide the total area of the quilt by the number of squares. This gives us the area of one square:
[tex]\[ \text{Area of one square} = \frac{\text{Total area of the quilt}}{\text{Number of squares}} = \frac{1.44 \text{ square meters}}{62} \approx 0.0232258064516129 \text{ square meters} \][/tex]
4. Side Length of Each Square in Meters:
Since we know the area of each square, we can find the side length by taking the square root of the area:
[tex]\[ \text{Side length (in meters)} = \sqrt{0.0232258064516129} \approx 0.15240015240022858 \text{ meters} \][/tex]
5. Convert Side Length to Centimeters:
To get the side length in centimeters, we need to convert from meters to centimeters (since 1 meter = 100 centimeters):
[tex]\[ \text{Side length (in centimeters)} = 0.15240015240022858 \times 100 \approx 15.240015240022858 \text{ centimeters} \][/tex]
Therefore, to make a quilt consisting of 62 squares with a total area of 1.44 square meters, each side of the individual squares should be approximately 15.24 centimeters.
