Garth wants to crochet a quilt made of identical squares with a total area of 1.44 m2. If Garth wants the quilt to consist of exactly 62 squares, how long should
he make one side of each individual square, in centimetres?
cm



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.