Bobby made a quilt for his cousin's doll. The quilt had a 7 × 7 array of different color square patches. If each patch is 3
1
2
in long, what is the area of the whole quilt?
IDK BUT I NEED ANSWERS
IDK
I mean "3 1/2" if you don't get it-
so close ... until that last = sign.
To find the area of the whole quilt, we need to calculate the overall dimensions of the quilt.
Given that each patch is 3 1/2 inches long, the dimensions of the quilt can be calculated by multiplying the number of patches in each row by the length of each patch.
Since the quilt has a 7 × 7 array of patches, there are 7 patches in each row and 7 patches in each column. Thus, the quilt's length can be calculated by multiplying 7 (number of patches in each row) by 3 1/2 (length of each patch):
7 patches × 3 1/2 inches = 24 1/2 inches
Similarly, the quilt's width can be calculated by multiplying 7 (number of patches in each column) by 3 1/2 (length of each patch):
7 patches × 3 1/2 inches = 24 1/2 inches
Now that we have calculated the length and width of the quilt, we can find the area by multiplying the length and width:
Area = Length × Width
= 24 1/2 inches × 24 1/2 inches
= 600 1/4 square inches
Therefore, the area of the whole quilt is 600 1/4 square inches.
Well if AsubscriptT is total area and SsubscriptT is total length of side (since both sides are the same length), then
SsubT = 7*(3 1/2) = 7*(7/2) = 49/2
AsubT = SsubT*SsubT = (SsubT)^2 = (49/2)^2 = 2401/4 = 600.25, or 600 1/2
:-)