Question

Find the perimeter and the area of the polygon with the given vertices  H (3,2), I (5,2), J (5,7), K (3,7)

Answer 1

• perimeter: 14
• area: 10

Explanation:

You want the perimeter and area of the quadrilateral with vertices H(3,2), I(5,2), J(5,7), K(3,7).

Graph

The attached graph shows the quadrilateral is a rectangle with side lengths 2 and 5.

Perimeter

The perimeter is the sum of side lengths:

P = 2 +5 +2 +5 = 14

Area

The area is the product of adjacent side lengths:

A = 2×5 = 10

The perimeter is 14 units; the area is 10 square units.

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