Find the value of x. Simplify in simplest radical form.

x is 13.03

Step-by-step explanation:

Start by determining the length of the horizontal side of one of the triangles shown.  The Pythagorean Theorem applies here:

(horizontal side)² + 17² = 19², so that:

(horizontal side)² + 17² = 19² - 17², or 72

Then the length of the horizontal side is +√72, or √36√2, or 6√2.

From the diagram it is obvious that the width of the rectangle, x, can be found by subtracting twice the length of the horizontal side of one of the triangles from 31 (base of the entire figure):

x = 31 - 2(6√2) = 13.03

x is 13.03

step-by-step explanation: