Question

A polygon has the following coordinates: A(4,2), B(-3,2), C(-3,5), D(4,5). Find the length of DA.

A.
4 units
B.
C.
2 units
3 units
D.
5 units
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Answer 1

Option C: 3 units is the length of DA

Step-by-step explanation:

The coordinates of a polygon ABCD are
`A(4,2), B(-3,2), C(-3,5), D(4,5)`

We need to find the length of DA

The length of DA can be determined using the distance formula,

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Let us substitute the coordinates
`A(4,2)` and
`D(4,5)` in the distance formula, we get,

`d=√((4-4)^2+(5-2)^2)`

Subtracting the terms within the bracket, we have,

`d=√((0)^2+(3)^2)`

Squaring the terms, we get,

`d=√(0+9)`

Adding the terms, we have,

`d=√(9)`

`d=3 \ units`

Thus, the length of DA is 3 units.

Hence, Option C is the correct answer.