Discover how IDNLearn.com can help you find the answers you need quickly and easily. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.

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?

Sagot :

Answer: [tex]\dfrac{729}{4}\ in.^2[/tex]

Step-by-step explanation:

Given

length of each patch is [tex]2\ \frac{1}{4}[/tex] in.

The size of the quilt is [tex]6\times 6[/tex] array i.e. there are [tex]6^2[/tex] patch available

The area of each patch is

[tex]\Rightarrow \dfrac{9}{4}\times \dfrac{9}{4}\\\\\Rightarrow \dfrac{81}{16}\ in.^2[/tex]

The area of the whole quilt is

[tex]\Rightarrow 36\times \dfrac{81}{16}\\\\\Rightarrow \dfrac{729}{4}\ in.^2[/tex]