Perimeter of the polygon is 34 units.
Area of the polygon is 72 sq. units
Explanation:
To find the perimeter and area, first we have to find the length of the 4 sides, using the distance formula.
H (-3,-2), I(5,-2), J (5,7), K (-3, 7)
Distance formula is given as √((x₂-x₁)² + (y₂-y₁)²)
HI = √ ((5-(-3))² + (-2-(-2))²)
= √ ((8)² + (0)²) = √8² = 8
IJ = √((5-5)² +(7-(-2))²)
= √9² = 9
JK = √((-3-5)² +(7-7)²) = √(-8)²
= 8
KH = √((-3-(-3))² +(-2-7)²) = √(-9)² = 9
Perimeter = 2(l+ b ) = 2(9+8) = 34 units.
Area = l × b = 9 × 8 = 72 sq. units