:A coordinate plane with a point A at negative 3, 3 and C at negative 3, negative 2.If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C? (4 points)B(1, 3) and D(1, −2)B(3, 3) and D(3, −2)B(2, 3) and D(2, −2)B(1, 2) and D(1, −3)
Accepted Solution
A:
Answer:B (1 , 3) , D (1 , -2)Step-by-step explanation:∵ A (-3 , 3) , C (-3 , -2)∵ They have the same x-coordinate∴ AC is a vertical segment its length = 3 - -2 = 5∵ The area of the rectangle = 20∴ The width of it = 20 ÷ 5 = 4∴ x-coordinate of B: -3 + 4 = 1∴ y-coordinate of B : 3 ⇒ AB horizontal segment∴ B (1 , 3) ∵ x-coordinate of BD is 1 ⇒ BD is vertical segment∵ y-coordinate = 3 - 5 = -2∴ D (1 , -2)