SOLUTION: the ratio of two similar rectangles if 1:4 of the smaller rectangle has an area of 40 square inches whats the area of the larger rectangle

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Question 666694: the ratio of two similar rectangles if 1:4 of the smaller rectangle has an area of 40 square inches whats the area of the larger rectangle
Found 2 solutions by MathLover1, vleith:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

+1%3A4+=40in%5E2%3AA
+1%2F4+=40in%5E2%2FA.....cross multiply
+1%2AA+=40in%5E2%2A4
+A+=160in%5E2

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let the lenght and width of the smaller rectangle be given by l and w.
You are told the larger rectangle sides are 4x larger. so they are (4l) and (4w).
Area is given by length * width.
Area of the smaller rectangle is lw+=+40
Area of the larger rectangle is 4l+%2A+4w+=+16%2Alw
AreaOfLarger+=+16%2Alw+=+16%2A40+=+640+ square inches