Question

Leo made a quilt for his cousin's doll. The quilt had a 6 × 6 array of different color square patches. If each patch is 2 1 4 in long, what is the area of the whole quilt?

Answer 1

Answer: $\dfrac{729}{4}\ in.^2$

Step-by-step explanation:

Given

length of each patch is $2\ \frac{1}{4}$ in.

The size of the quilt is $6\times 6$ array i.e. there are $6^2$ patch available

The area of each patch is

$\Rightarrow \dfrac{9}{4}\times \dfrac{9}{4}\\\\\Rightarrow \dfrac{81}{16}\ in.^2$

The area of the whole quilt is

$\Rightarrow 36\times \dfrac{81}{16}\\\\\Rightarrow \dfrac{729}{4}\ in.^2$