Answer:
Number of squares needed are 56 squares.
Step-by-step explanation:
Given that Mrs. Renoir has completed the interior portion of a quilt top measuring 4 feet by 6 feet. We have to find number of squares needed to out lining the above portion with squares measuring 4 inches on each side.
The dimension of interior portion 4 fret by 6 feet i.e 48 inches by 72 inches.
∴ [tex]Area=Length\times breadth=48\times 72=3456inches^2[/tex]
Outlining by the squares of side 4 inches on each side.
Hence, dimension of quilt top after outlining by squares are
Length=48-4-4=40 inches
Breadth=72-4-4=64 inches.
∴ [tex]Area=Length\times breadth=40\times 64=2560inches^2[/tex]
Now, total area to outline by squares of side 4 inches of quilt top is [tex]3456-2560=896inches^2[/tex]
[tex]\text{Area of square of side 4 inches=}4\times 4=16inches^2[/tex]
∴ [tex]\text{Number of squares needed=}\frac{896}{16}=56 squares[/tex].
