Question

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

Answer 1

D

Explanation:

Area of rectangle= length × breadth

Area of figure

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