The vertices of a quadrilateral in the coordinate plane are known. how can the perimeter of the figure be found? use the distance formula to find the length of each side, and then add the lengths. use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel. use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular. use the distance formula to find the length of the sides, and then multiply two of the side lengths.

"Use the distance formula to find the length of each side, and then add the lengths".

Step-by-step explanation:

By definition the perimeter of a quadrilateral is the sum of the length of its sides.

Therefore the first thing we should find is the length of the sides of the quadrilateral

If we have the vertices A, B, C and D of the quadrilateral then the distance between two of its vertices is the length of one of its sides.

For example, the distance between vertex A and vertex B is the length of the AB side. Then, using the formula of the distance between two points, we find the length of its sides and add them together.

Then the correct answer is: "Use the distance formula to find the length of each side, and then add the lengths".

squares, rhombus, rectangles

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.