What is the area of the rectangle Answers 60 units66 units70 units 74 units
Accepted Solution
A:
Answer:The answer to your question is 74 u²Step-by-step explanation:Process1.- Find the 4 vertices A (-2, 8) B (0, -4) C (4, 9) D (6, -3)2.- Find the length of the base and the height [tex]d = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]Distance AB = \sqrt{(0 + 2)^{2} + (-4 - 8)^{2} }[/tex] dAB = [tex]\sqrt{4 + 144}[/tex] dAB = [tex]\sqrt{148}[/tex]Distance BD = \sqrt{(6 - 0)^{2} + (-3 + 4)^{2} }[/tex] dBD = [tex]\sqrt{36 + 1}[/tex] dBD = [tex]\sqrt{37}[/tex]3.- Find the areaArea = base x heightArea = [tex]\sqrt{148} x \sqrt{37}[/tex]Area = [tex]\sqrt{5476}[/tex]Area = 74 u²