Spencer made a quilt for his cousin's doll. The quilt had a 7x7 array of different color square patches. If each patch is 1 3/4 in long, what is the area of the whole quilt?

Respuesta :

Answer:

[tex]\frac{2401}{16}[/tex] square inches

Step-by-step explanation:

Given:

The quilt made by Spencer had a 7×7 array of different color square patches such that each patch is [tex]1\frac{3}{4}[/tex] in long.

To find: the area of the whole quilt

Solution:

Side of each quilt = [tex]7(\frac{3}{4})=7(\frac{7}{4})=\frac{49}{4}[/tex]

Quilt is in the form of a square such that area of square is given by [tex](side)^2[/tex]

Therefore, area of quilt = [tex](side)^2=(\frac{49}{4})^2 =\frac{2401}{16}[/tex]  square inches

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