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?

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

The area of the whole quilt  is 600.25 ft²

Step-by-step explanation:

Here we have the length of each patch given as

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

Length of each side of quilt =

∴ Area of the whole quilt =

The area of the whole quilt  = 600.25 ft².

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80