Question

Jamal's deck is in the shape of a polygon and is shown on the grid below.(-8,6)(6,6)o[(-8, -4),(6,-4)What is the area of Jamal's deck?square units

Answer 1

Let;

A(-8,6) B(6,6) C(6, -4) D(-8, -4)

Let's find the length AB

x₁= -8 y₁=6 x₂=6 y₂=6

We will use the distance formula;

$d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$

$=\sqrt[]{(6+8)^2+(6-6)^2}$$=\sqrt[]{14^2+0}$$=14$

Next, we will find the width BC

B(6,6) C(6, -4)

x₁= 6 y₁=6 x₂=6 y₂=-4

substitute into the distance formula;

$d=\sqrt[]{(6-6)^2+(-4-6)^2}$

$=\sqrt[]{(-10)^2}$$=\sqrt[]{100}$$=10$

Area = l x w

= 14 x 10

= 140 square units