Question

Will someone please help me understand this?

Answer 1

the answer is A

Explanation:

Answer 2

Option A:

The length of diagonal JL is
`3 √(5) \text { units }`.

Solution:

In the quadrilateral, the coordinates of J is (1, 6) and L is (7, 3).

So that,
`x_1=1, y_1=6, x_2=7, y_2=3`

To find the length of the diagonal JL.

Using distance formula:

`d=√((y_2-y_1)^2+(x_2-x_1)^2)`

`d=√((3-6)^2+(7-1)^2)`

`d=√((-3)^2+(6)^2)`

`d=√(9+36)`

`d=√(45)`

`d=√(3^2* 5)`

`d=3√( 5)` units

The length of diagonal JL is
`3 √(5) \text { units }`.

Option A is the correct answer.