The unknown length, x, in the smaller quadrilateral is 3 cm
Solution:
Given that,
The proportion can be solved to find the unknown length , x, in the smaller quadrilateral
Given proportion is:
[tex]\frac{x}{1.5} = \frac{9}{4.5}[/tex]
We have to find the value of "x"
From given proportion,
[tex]\frac{x}{1.5} = \frac{9}{4.5}[/tex]
Cross multiply the numerator of left side fraction with denominator of right side fraction
Multiply the numerator of right side fraction with denominator of left side fraction
Solve for x
[tex]x \times 4.5 = 9 \times 1.5\\\\4.5x = 13.5\\\\x = \frac{13.5}{4.5}\\\\x = 3[/tex]
Thus unknown length, x, in the smaller quadrilateral is 3 cm