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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

AyA56B 36D51C3120laFind The Area Of The Rectangle ABCDB 72 Square UnitsA 40 Square UnitsC 56 Square UnitsD 36 Square Units class=

Sagot :

Given:

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

Required: Area of rectangle ABCD

Explanation:

First, find the length and width of the rectangle.

[tex]\begin{gathered} \text{ Length, }DC=\sqrt{(-5-3)^2+(-1-(-1))^2} \\ =\sqrt{(-8)^2+0^2} \\ =8 \\ \text{ Width, }BC=\sqrt{(3-3)^2+(6-(-1))^2} \\ =\sqrt{0^2+7^2} \\ =7 \end{gathered}[/tex]

The are of the rectangle is

[tex]\begin{gathered} A=\text{Length}\times\text{Width} \\ =8\times7 \\ =56 \end{gathered}[/tex]

Option C is correct.

Final Answer: Rectangle ABCD has area 56 square units.

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