Question

1. MNOP is a quadrilateral <M : <N : <O : <p ::2:2:1:1. what kind of quadrilateral is MNOP?
WHY?
2. A cylindrical jar is of height 12cm and has diameter 5 cm. Find the lenght of the longest stick which can fit in the jar.

Answer 1

answer 1-
there is a formula for finding the total sum of all interior angles.
it is (n-2)*180..... n are the no. of sides
here there are 4 sides so the total sum of all interior angles will be 360
the ratio is given m:n:o:p as 2:2:1:1 
so we will write it as 2x + 2x +1x+1x=360
6x=360
x=360/6=60
x=60
now that we know the value of x, we can find values of angles easily. 
 
we get,
<m=2x=2*60=120degree
<n=120degree
<o=60 degree
<p=60 degree
 so according to the answer, the quadrilateral formed is a trapezium.