Question

If a/4 = 9/a, then
a²=36
4a = 9a
a + 4 = 9 + a
a - 4 = 9 - a

Answer 1

The answer is a²=36

$\frac{a}{4} = \frac{9}{a}$
Multiply both sides of the equation by 4a:
$4a*\frac{a}{4} =4a* \frac{9}{a} \\ a*a=4*9 \\ a^{2} =36$

Answer 2

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: $a^2 = 36$