Question

Joshua made a quilt for his cousin's doll. The quilt had an 8 × 8 array of different color square patches. If each patch is 2 2 3 in long, what is the area of the whole quilt?

Answer 1

`Area = 455.11\ in^2`

Explanation:

Given

`Patches = 8\ by\ 8`

`Length = 2(2)/(3)\ in` each

Required

The area of the quilt

First, calculate the length of the quilt.

`Length = 8 * 2(2)/(3)`

`Length = 8 * (8)/(3)`

`Length = (64)/(3)`

Next, the width

`Width= 8 * 2(2)/(3)`

`Width= 8 * (8)/(3)`

`Width = (64)/(3)`

The area is then calculated using:

`Area = (64)/(3) * (64)/(3)` i.e. Length * Width

`Area = (4096)/(9)in^2`

`Area = 455.11\ in^2` --- approximated