Determine whether quantities vary directly or inversely and find the constant of variation. A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. Find its length.

Question

Mathematics

Lucia Hampton

27 March, 14:36

Determine whether quantities vary directly or inversely and find the constant of variation. A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. Find its length.

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Terrance Herrera · Answer 1

A=LW and we have:

21L=72*56

21L=4032

L=192

If we were not told the width though and were to set up a function to determine length by the variable W we would get:

L=4032/W

Then this would be inverse variation which is of the form y=k/x.