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

Answer:

$Area = 455.11\ in^2$

Step-by-step explanation:

Given

$Patches = 8\ by\ 8$

$Length = 2\frac{2}{3}\ in$ each

Required

The area of the quilt

First, calculate the length of the quilt.

$Length = 8 * 2\frac{2}{3}$

$Length = 8 * \frac{8}{3}$

$Length = \frac{64}{3}$

Next, the width

$Width= 8 * 2\frac{2}{3}$

$Width= 8 * \frac{8}{3}$

$Width = \frac{64}{3}$

The area is then calculated using:

$Area = \frac{64}{3} * \frac{64}{3}$ i.e. Length * Width

$Area = \frac{4096}{9}in^2$

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