As you have not shared your attempt at solving this for yourself, nor responded to Craig, I am only going to give you hints to a possible solution. For my test data I used this
declare @demo table (startdate date, enddate date)
insert into @demo (startdate, enddate) values
('2022-03-01', '2022-04-10'),
('2021-12-01', '2022-03-11'),
('2022-01-01', '2022-04-05');
I also hard-coded the start and end dates for the month I am interested in
declare @1stDay date = '2022-04-01';
declare @LastDay date = '2022-04-30';
I then wrote some sql that would convert the dates I had on the table to only those that fell into the month I am looking at. E.g. Something like this
select startdate, enddate
,case when startdate < @1stDay then @1stDay
when startdate > @lastDay then @LastDay
else startdate end as AmendedStartDate
,case when enddate < @1stDay then @1stDay
when enddate > @LastDay then @LastDay
else enddate end as AmendedEndDate
from @demo;
I then used those Amended dates in a datediff calculation to get the number of days in each range that fell in April 2022. This approach is flawed - in that I get 9, 0 and 4 as the results instead of 10, 0, 5. I will leave that as an exercise for you to sort out. I also coded this in MSSQL so you may need to make minor syntactical changes