Are the areas of two rectangles proportional to the lengths of their corresponding sides? Please Explain. Thanks.
2006-11-01 16:19:22 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
I would think that the area is proportional to the *square* of their corresponding sides.
If you had a rectangle that was 3 x 4 and the corresponding rectangle was 6 x 8, the ratio of their sides is 1 : 2. But their areas are 1 : 4 (2²).
2006-11-01 16:35:25 · answer #1 · answered by Puzzling 7 · 0⤊ 0⤋
Suppose the constant of proportionality is k
ie L1 = kL2
B1 = kB2
A1 = L1B1
= kL2.kB2
= k²L2B2
= k²A2
Similar volumes are related by V1 = k³V2
Do to K what it says to do to the units .. If the units are linear then k is fine ..if they are square units (similar areas) then use k², if cubic units (similar volumes) then use k³.
2006-11-02 00:56:31 · answer #2 · answered by Wal C 6 · 0⤊ 0⤋