Answer:
[tex]x = 94[/tex]
Step-by-step explanation:
To find the value of [tex]x[/tex], we have to first find the lengths of the sides of the squares and add them.
The formula for area of a square is as follows:
[tex]{area = (length \space\ of \space\ side)^2}[/tex]
This means the length of a side of a square can be found by:
[tex]\boxed {length \space\ of \space\ side = \sqrt{area}}[/tex]
Now we can find the lengths of sides of each of the squares:
• Length of side of larger square = [tex]\sqrt{8100}[/tex]
= 90
• Length of side of smaller square = [tex]\sqrt{16}[/tex]
= 4
Next we can just add the lengths of the sides to get the value of [tex]x[/tex] :
[tex]x = 90 + 4[/tex]
⇒ [tex]x \bf = 94[/tex]
