Find the perimeter and area of a polygon that has vertices at

H (-3, - 2), I (5, - 2), J (5, 7), K (-3, 7).

Perimeter of the polygon is 34 units.

Area of the polygon is 72 sq. units

Step-by-step 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