The diagram shows two 10 by 14 rectangles which are edge-to-edge and share a common vertex. It also shows the centre O of one rectangle and the midpoint M of one edge of the other. What is the distance OM?

15

Step-by-step explanation:

Pretend there is a triangle where the hypotenuse is MO

to find the bottom side, we need to find half of 14 (7) and half of 10 (5)

That tells us that the bottom of the triangle is 12.

To find the next side, you will need to use 14 and subtract 10, leaving us with 4. Half of 10 is 5 so 5+4 is 9, so the side facing up is 9.

Now using Pythagorus, the root of 12^2 and 9^2 is 15

Final answer, the distance from O to M is 15

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.