Answer:
Option A is correct.
The given expression : \(\frac{a}{4} = \frac{9}{a}\) then;
\(a^2 = 36\)
Step-by-step explanation:
Given the expression: \(\frac{a}{4} = \frac{9}{a}\)
Cross multiplication the given expression following steps are as follow;
- Multiply numerator of the left-hand fraction by the denominator of the right-hand fraction
- Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.
- then, set the two products equal to each other.
Using cross multiplication, on the given expression;
\(\frac{a}{4} = \frac{9}{a}\)
First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)
we have;
\(\frac{a \times a}{4} = 9\)
Simplify:
\(\frac{a^2}{4} =9\) [1]
now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]
we have;
\(a^2 = 9\times 4\)
Simplify:
\(a^2 = 36\)
Therefore, the given expression is equal to: \(a^2 = 36\)
