Question

Frederick made a quilt for his cousin's doll. The quilt had a 7 × 7 array of different color square patches. If each patch is 3 1 2 in long, what is the area of the whole quilt?

Answer 1

Answer:

Step-by-step explanation:

Given that, .

Frederick make 7 × 7 quilt array

This shows that there are seven rows and there are seven columns.

So, the total quilt is

7 × 7 = 49 squares patches

We are told that each of this square patches are 3½ in long

Then, since it is a square patch, it's area is

A = S² = 3½ × 3½ = 12¼ in²

So, each square patch has an area of 12¼in²,

Then, for 49 square patches

The total area of 49 Square patches is

A = 49 × 12¼ = 600.25 in²

So, the area of the whole quilt is 600.25 in²

Answer 2

Answer:

The area of the whole quilt  is 600.25 ft²

Step-by-step explanation:

Here we have the length of each patch given as $3\frac{1}{2} in$

Therefore, whereby the quilt had 7 × 7 array of different color square patches, we have;

Length of each side of quilt = $7 \times 3\frac{1}{2} = 7 \times \frac{7}{2} = \frac{49}{2} = 24\frac{1}{2}$

∴ Area of the whole quilt = $24\frac{1}{2} \times 24\frac{1}{2} = \frac{2401}{4} = 600\frac{1}{4} \ ft^2$

The area of the whole quilt  = 600.25 ft².