You can draw the 3 rectangles with these measurements then divide one horizontally one vertically and one slanted from one top corner to one bottom corner
Answer:896.9
Step-by-step explanation:
Let x denotes excess premium over claims
, There are two possibilities
(i)Only husband survives
This can be possible with a possibility of 0.01
Claims=10,000
Premium collected
Thus x=1000-10,000=-9000
(ii)Both husband and wife survives
This can occur with a probability of 0.96
Here claims will be 0 as both survives
Premium taken=1000
thus x=1000
The probability that the husband survives is the sum of above cases
=0.96+0.01=0.97
Hence the desired conditional Expectation 
25 = 5*5 and 9 = 3*3, which we can exploit to write

so that this expression is actually a difference of squares. We can factorize this to get

and given that
, we divide both sides by this to get

For this case we have the following expression:
x ^ 2 + 15x + 56
We can factor this expression to find the possible dimensions of the rectangle.
Factoring we have:
(x + 7) (x + 8)
Answer:
the possible dimensions are:
(x + 7) * (x + 8)

Actually Welcome to the Concept of the inequalities.
===> -7 + 45m - 35 < 9m - 11
===> 45m - 42 < 9m - 11
===> 45m - 9m < -11 + 42
==> 36m < 31
==> m < 31/36
hence the value of m < 31/36