Using the dimensions of a reduced rectangle and one given measurement of an original rectangle:
- Set up a proportion using the corresponding parts
- Solve the proportion to find the missing measure
What is Reduction?
Reduction is a type of dilation that reduces the size of an original figure to form a new figure that is similar to the original. The corresponding lengths of both figures are therefore proportional.
Assuming the dimensions of the reduced rectangle are 10 cm by 4 cm, and the length of the original rectangle is given as 8 cm, to find the missing measure (x), do the following:
Set up a proportion using the corresponding parts
10/8 = 4/x
Solve the proportion using cross products to find x:
10x = (8)(4)
10x = 32
x = 32/10
x = 3.2 cm
The missing length is 3.2 cm.
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