In the diagram below, RSTU is a rectangle, and the two shaded regions are squares. If the length of SR is 4 m and the length of ST is 8 m, what is the length of PQ in meters?

length PQ = 8.9 m  

Step-by-step explanation:

The picture below completes the question you  asked. From the picture above RSTU is a rectangle . The two shaded square has a length of sides 8 m and 4 m respectively. The legs of the triangle is the sides of the 2 squares. Therefore, the triangle is a right angle triangle. The adjacent side is 4 m while the opposite side is 8 m.

Using Pythagoras theorem the hypotenuse of the triangle can be calculated below.

Pythagoras theorem

c² = a² + b² Therefore,

c² = 4² + 8²

c² = 16 + 64

c² = 80

square root both sides

c = √80

c = 8.94427191

c ≈ 8.9 m

length PQ = 8.9 m