The correct answer is: [B]: " 9.6 cm " .
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Explanation:
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Let "FH" = "x" ; for which we wish to solve.
45 cm / 12 cm = 36 cm / "x" (in "cm") ;
To solve for "x" ;
Cross--multiply:
Note: Given:
" [tex] \frac{a}{b} = \frac{c}{d} [/tex] " ; " ad = bc " ; (b ≠ 0 ; d ≠ 0) ;
So: " 45x = 12 * 36 " ;
→ 45x = 432 ;
Divide each side of the equation by "45" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 45x / 45 = 432 / 45 ;
→ x = 9.6 cm ;
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→ which corresponds with:
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→ Answer choice: [B]: " 9.6 cm " .
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Hope this answer — and explanation — helps!
Best wishes in your academic pursuits!
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