Question

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

Help me plzzz :0

Answer 1

B

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

The area (A) of a triangle is calculated as

A =
`(1)/(2)` bh ( b is the base and h the perpendicular height ), thus

A =
`(1)/(2)` ×
`√(21y)` ×
`√(3y^5)`

=
`(1)/(2)` ×
`√(63y^6)`

=
`(1)/(2)` ×
`√(63)` ×
`√(y^6)`

=
`(1)/(2)` ×
`√(9(7))` ×
`√((y^3)^2)`

=
`(1)/(2)` × 3 ×
`√(7)` × y³

=
`(3)/(2)` y³
`√(7)` → B

Answer 2

Option B

Explanation:

Please see attached picture for full solution.