What is the value of x? How would i be able to show my work on an online exam?

x=100

Step-by-step explanation:

a=5√(2)

2a=2√(2x)

Multiply the first equation by 2 on both sides to get:

2a=2*5√(2)=10√(2)

Now, since we have 2a on the left sides of both equations, we can solve this.

10√(2)=√(2x)

We can rewrite √(2x) as √(2) * √(x) and divide by √(2) on both sides.

10=√(x)

Square on both sides to get:

100=x

So x=100. Hope I could help you!

Let the side of the square = x

So, the altitude of the triangle = x
and it's base = x+3

2 (area of triangle) - 18 = area of the square

area of the triangle = (1/2)height× base
and
area of the square = side^2

{ (2)(1/2)(x)(x+3)} -18 = x^2
x^2 + 3 x -18 = x^2
3x -18 =0
3x = 18
x = 6

so, the length of one side of the square = 6 units = altitude of the triangle
and the base of the triangle = 6+ 3 = 9cm.