Question

Find the expression for the area of the figure. Give your answer as a simplified radical.

Answer 1

Answer:

D

Step-by-step explanation:

Area of rectangle= length × breadth

Area of figure

$= ( \sqrt{15x}) ( \sqrt{10x} ) \\ = \sqrt{(10x)(15x)} \\ = \sqrt{150 {x}^{2} } \\ = \sqrt{6(25 {x}^{2}) } \\ = (\sqrt{6} )( \sqrt{( {5x})^{2} } ) \\ = ( \sqrt{6} )(5x) \\ = 5x \sqrt{6}$