Question

AyA(-5,6)B (3,6)D(-5,-1)C(3,-1)-20-laFind the area of the rectangle ABCD.B. 72 square unitsA. 40 square unitsC. 56 square unitsD. 36 square units

Answer 1

Given:

Given a rectangle with coordinates A(-5, 6), B(3, 6), C(3, -1) and D(-5, -1).

Required: Area of rectangle ABCD

Step-by-step explanation:

First, find the length and width of the rectangle.

`\begin{gathered} \text{ Length, }DC=√((-5-3)^2+(-1-(-1))^2) \\ =√((-8)^2+0^2) \\ =8 \\ \text{ Width, }BC=√((3-3)^2+(6-(-1))^2) \\ =√(0^2+7^2) \\ =7 \end{gathered}`

The are of the rectangle is

`\begin{gathered} A=\text{Length}*\text{Width} \\ =8*7 \\ =56 \end{gathered}`

Option C is correct.

Final Answer: Rectangle ABCD has area 56 square units.