Question

COORDINATE GEOMETRY Graph each figure with the given vertices and identify the figure. Then find the perimeter and area of the figure. O(3, 2), P(1, 2), Q(1, –4), R(3, –4) a. quadrilateral; 8 units; 12 square units b. quadrilateral; 16 units; 12 square units c. quadrilateral; 12 units; 16 square units d. quadrilateral; 8 units; 16 square units

Answer 1

Answer:

The perimeter and area of the figure are 16 units and 12 square units respectively

Step-by-step explanation:

We are given the vertices of figure

O(3, 2)

P(1, 2)

Q(1, –4)

R(3, –4)

Refer the attached figure

So, The given quadrilateral is rectangle since opposite sides are equal and each angle is of 90°

So, using the attached graph

Length of rectangle = Distance between PO = 2 units

Breadth of rectangle = Distance between PQ=6 units

So, Perimeter of rectangle = 2(Length +Breadth)=2(2+6)=16 units

Area of rectangle =$Length \times Breadth = 2 \times 6 = 12 unit^2$

So, Option B is true

Hence the perimeter and area of the figure are 16 units and 12 square units respectively