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3 years ago

The rectangle shown is dilated by a scale factor of 1/5

Mathematics

1 answer:

Harrizon [31]3 years ago

5 0

Answer:

A'B'= 3 cm and B'D' = 1.6 cm

Step-by-step explanation:

First of all, we are told that the scale factor = 1/5

Now,we know that If the scale factor is less than 1, then the dilation is a reduction.

Thus, in this question the dilation is a reduction.

For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor

Thus;

A'B' = AB(1/5)

A'B' = 15(1/5) = 3 cm

B'D' = BD(1/5) = 8(1/5) = 1.6 cm

Thus, The length of each side of the dilated rectangle are;

A'B'= 3 cm and B'D' = 1.6 cm

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Vlad [161]

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Step-by-step explanation:

To add two fractions, they must have the same denominator.

LCD = 8

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$-6\dfrac{1}{8}+1\dfrac{1}{4}=-6\dfrac{1}{8}+1\dfrac{2}{8}=-\left(6\dfrac{1}{8}-1\dfrac{2}{8}\right)=(*)\\\\\text{We know}\ 1=\dfrac{8}{8},\ 6=5+1=5+\dfrac{8}{8}=5\dfrac{8}{8}.\\\\\text{Therefore}\ 6\dfrac{1}{8}=5\dfrac{8+1}{8}=5\dfrac{9}{8}\\\\(*)=-\left(5\dfrac{9}{8}-1\dfrac{2}{8}\right)=-\bigg((5-1)+\dfrac{9-2}{8}\bigg)=-\bigg(4+\dfrac{7}{8}\bigg)=-4\dfrac{7}{8}$