Mathematical Practices
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If a figure is dilated by a scale factor of k, then its perimeter is k times the perimeter of the original figure.
If a figure is dilated by a scale factor of k, then its perimeter is k times the perimeter of the original figure.
Perimeter: 32cm
Area: 48cm^2
Perimeter: 48cm
Area: 108cm^2
Perimeter: 64cm
Area: 192cm^2
First we will calculate the perimeter and the area of the original figure. Then we will use this information to calculate the perimeter and the area of the dilated figure.
Substitute values
Add terms
Multiply
1/b* a = a/b
Calculate quotient
Recall that if a figure is dilated by a scale factor k then its perimeter is k times the perimeter of the original figure. In our case the perimeter of the original trapezoid is P=16cm. cc Scale factor, k & Perimeter, kP [1em] 2 & 2(16cm)=32cm Now recall that if a figure is dilated by a scale factor k then its area is k^2 times the area of the original figure. In our case the area of the original trapezoid is A=12cm^2. cc Scale factor, k & Area,k^2A [1em] 2 & ( 2^2)(12cm^2)=48cm^2
cc Scale factor, k & Perimeter, kP [1em] 3 & 3(16cm)=48cm Next we can find the area. cc Scale factor, k & Area,k^2A [1em] 3 & ( 3^2)(12cm^2)=108cm^2
ccc Scale factor, k & Perimeter, kP & Area,k^2A [1em] 4 & 4(16cm)=64cm & ( 4^2)(12cm^2)=192cm^2