Answer: Length = 2x✓15
Step-by-step explanation:
A rectangle has a width of 2x inches and a diagonal length of 8x inches. We are told to find the length of the rectangle. The square of the diagonal is the addition of the square of the length and square of the width.
Adjacent² = length² + width²
(8x)² = length² + (2x²)
Length² = 64x² - 4x²
Length² = 60x²
Length = ✓60x²
Length = ✓4 × ✓15 × ✓x²
Length = 2 × ✓15 × x
Length = 2x✓15
