Question

A rectangular window is 4x inches wide and 8x inches long. What is an expression for the distance from one corner of the window to the opposite

corner? Give your answer as a simplified radical.

Answer 1

Explanation:

Pythagorean theorem

a² + b² = c² a = 4x b=8x

c = √(a² + b²)

c =√((4x)² + (8x)²)

= √(16x² + 64x²)

= √80x²

= √(16×5)x²

= 4x√5