Question

5.3 area in the coordinate plane assignment activity 4/7 using the figure below, find the area of the rectangle on the coordinate plane. what is the area of the rectangle in the figure? round to the tenths place.

Explanation:

Step1: Calculate side - length AB

$d_{AB}=\sqrt{(0 - 4)^2+(0+4)^2}=\sqrt{16 + 16}=\sqrt{32}\approx5.7$

Step2: Calculate side - length AD

$d_{AD}=\sqrt{(0 - 3)^2+(0 - 3)^2}=\sqrt{9+9}=\sqrt{18}\approx4.2$

Step3: Calculate area

$A = d_{AB}\times d_{AD}\approx5.7\times4.2 = 23.9$

Answer:

23.9 units²