Question

On a coordinate plane, plot points W(-2, 4), X(2, 6), Y(3, 4), and Z(-1,2).

Determine the perimeter of this shape.

675 units
9V6 units
7/3 units
102 units

Answer 1

6√5 units

Explanation:

From the plot, you can see that side WX is the hypotenuse of a right triangle with legs of 4 and 2 units. The Pythagorean theorem tells you the length of that is ...

WX = √(4² +2²) = √20 = 2√5

The length of XY is half that, as it is the hypotenuse of a right triangle with legs 2 and 1 units.

Then the perimeter of the rectangle is the sum of side lengths

P = 2(2√5 +1√5) = 2(3√5)

P = 6√5 units