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

The area of the whole quilt is 600.25 ft²

Explanation:

Here we have the length of each patch given as
`3(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 * 3(1)/(2) = 7 * (7)/(2) = (49)/(2) = 24(1)/(2)`

∴ Area of the whole quilt =
`24(1)/(2) * 24(1)/(2) = (2401)/(4) = 600(1)/(4) \ ft^2`

The area of the whole quilt = 600.25 ft².

Answer 2

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