Answer:
![x = 94](https://img.qammunity.org/2023/formulas/mathematics/high-school/7nof2bfc6juedddrhchoy03p0i4eag8bvp.png)
Explanation:
To find the value of
, 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:
![{area = (length \space\ of \space\ side)^2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/ghjiqcc86yv3rdj7mbrh25g643e4gjs7tw.png)
This means the length of a side of a square can be found by:
![\boxed {length \space\ of \space\ side = √(area)}](https://img.qammunity.org/2023/formulas/mathematics/high-school/9myer5yuf02sw69edrwgcebr5olc0k42nd.png)
Now we can find the lengths of sides of each of the squares:
• Length of side of larger square =
![√(8100)](https://img.qammunity.org/2023/formulas/mathematics/high-school/38pzsrfop4myr3pvx8d8abkfliha1lu86l.png)
= 90
• Length of side of smaller square =
![√(16)](https://img.qammunity.org/2023/formulas/mathematics/college/at9u7ey5wy7ryvgsa7dhu2b5vd9x5h1rsn.png)
= 4
Next we can just add the lengths of the sides to get the value of
:
![x = 90 + 4](https://img.qammunity.org/2023/formulas/mathematics/high-school/cb1gnzptex5b8jj3r6g69g1nrjjzjofh89.png)
⇒
![x \bf = 94](https://img.qammunity.org/2023/formulas/mathematics/high-school/ir5vv7f4pvrswhhdw4qszu1yl8t8yxx5t1.png)