Question

The quilt had a 7 × 7 array of different color square patches. If each patch is 1 3/4 inches long, what is the area of the whole quilt?

Answer 1

Total area of quilt = (Area of one patch) × (Total number of patches)

Total area of quilt = (49/16 square inches) × (7x7 patches)

Total area of quilt = (49/16 square inches) × (49 patches)

Now, multiply the fractions:

Total area of quilt = (49 * 49) / (16 * 1) square inches

Total area of quilt = 2401 / 16 square inches

To simplify further, you can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case:

Total area of quilt = 2401 / 16 square inches

So, the area of the whole quilt is 2401/16 square inches.


Hope I helped you with your question :)

Answer 2

150.0625 square inches

Explanation:

You want to know the area of a 7 × 7 array of 1 3/4 inch squares.

Quilt

The length of one side of the square quilt is 7 times the length of one side of a square patch:

7 × 1.75 in = 12.25 in

The area of a 12.25 inch square is ...

A = s²

A = (12.25 in)² = 150.0625 in²

The area of the whole quilt is 150.0625 square inches.

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Additional comment

That's 150 1/16 square inches. Rounded to the nearest whole, it is 150 square inches.

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