Answer: 72 HOPE THIS HELPS!
x = 10.22 in
Solution:
Width of the figure = x in
Length of the figure = (2x + 5) in
Area of the figure = 260 in²
<u>To find the value of x:</u>
<em>Area of the figure = length × width</em>
length × width = 260
(2x + 5) × x = 260

Subtract 260 from both sides of the equation.

Factor the above quadratic expression.
Quadratic equation formula:




x = 10.22, x = –12.72006
Dimension of the figure cannot be measured in negative terms.
Hence x = 10.22 in.
In the given diagram, the traingles USW and UTV are similar triangles and thus the following ratio equality applies to them.
..........(Equation 1)
Checking the diagram given, we see that:
VT=y, WS=22, VU=8, ST=x-2
WU=WV+VU=12+8=20
TU=5
SU=ST+TU=(x-2)+5=x+3
Thus, substituting the required values in (Equation 1) we get:

Now, as can be clearly seen, to find y we will use the first two ratios as:


In a similar manner, to find the value of x we can use the last two ratios:

After cross multiplication we get:

Which can be simplified as:

Thus, 
Therefore, the required answer is:
x=9.5 and y=8.8
5 Hope I helped. Have a good day