Find an equivalent expression for the missing side length of the rectangle. Then find the missing side when x=3.Round to the nearest tenth of an inch

Base of rectangle = 23.25 units (Approx.)

Step-by-step explanation:

Given:

Diagonal of rectangle (Hypotenuse) = 8x

Height of rectangle (Perpendicular) = 2x

Find:

Base of rectangle

Computation:

Base = √Hypotenuse² - Perpendicular²

Base of rectangle = √(8x)² - (2x)²

Base of rectangle = √64x² - 4x²

Base of rectangle = √60x²

Base of rectangle = 7.75x units (Approx.)

If x = 3

Base of rectangle = 7.75x

Base of rectangle = 7.75(3)

Base of rectangle = 23.25 units (Approx.)