Answer:
[tex]x = 3.3cm[/tex]
Step-by-step explanation:
Given
Shape: Pentagon
Small
[tex]Bottom = x[/tex]
[tex]Left = 7cm[/tex]
Big
[tex]Bottom = 7cm[/tex]
[tex]Left = 15cm[/tex]
Required
Find x
From the question, we understand that the big pentagon is a dilation of the small pentagon.
What this means is that; both pentagons will have the same equivalent ratio.
The equivalent ratio, in this case is calculated using
[tex]Ratio = \frac{Bottom}{Left}[/tex]
For the small pentagon:
[tex]Ratio = \frac{x}{7cm}[/tex]
For the big pentagon:
[tex]Ratio = \frac{7cm}{15cm}[/tex]
Equate both ratios:
[tex]\frac{x}{7cm} = \frac{7cm}{15cm}[/tex]
[tex]\frac{x}{7cm} = \frac{7}{15}[/tex]
Cross multiply
[tex]15 * x = 7cm * 7[/tex]
[tex]15 * x = 49cm[/tex]
Make x the subject
[tex]x = \frac{49cm}{15}[/tex]
[tex]x = 3.267cm[/tex]
[tex]x = 3.3cm[/tex] --- approximated
Answer:
The answer should be 3.3
Step-by-step explanation:
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