Question

Find the perimeter of a quadrilateral with vertices at G (1, 6), H (2.5, 4), I (1, 2), K (-0.5, 4). Round your answer to the nearest hundredth when necessary. (5 points)
Select one:
a. 5 units
b. 12.5 units
c. 7.5 units
d. 10 units

Answer 1

@ganeshie8

Answer 2

@Nurali

Answer 3

find the distance between all the adjacent points of the quadrilateral and add them up to get the perimeter of this quadrilateral

Answer 4

The perimeter is just the sum of the lengths of the sides.

The lengths of the two horizontal sides (GH and IK) are just the differences in x-coordinates. For the lengths of the other sides, we'll need the distance formula based on the Pythagorean Theorem: the distance is the square root of the sums of the squares of the horizontal and vertical distances.

The length of GH is
[2.5 - (1)] = 1.5

The length of HI is
√[(1-2.5)^2 + (2-4)^2] = √[2.25+4] = 2.5

The length of IK is
[1 - (-0.5)] = 1.5

The length of GK is
√[[1 - (-0.5)]^2 + (6-4)^2] = √[1.22+4] = 2.29

The perimeter is the sum:
1.5+2.5+1.5+2=7.5 units

Answer 5

GH=2.5
IK=2.5
IH=2.5
GK=2.5

Perimeter =10 @nurali