Max is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Max has two verticesof the garden at points (-1, 2) and (-1,-2).At which points should Max have the other two vertices in order to make the area of his garden 20 square feet?

Answer:The other two vertices are (4 , -2) and (4 , 2) ⇒ 2nd answerStep-by-step explanation:* Lets explain how to solve the problem- All the points on a vertical line have thee same x-coordinates- In the vertical segment whose endpoints are (x , y1) and (x , y2)  its length = y2 - y1- All the points on a horizontal line have thee same y-coordinates- In the horizontal segment whose endpoints are (x1 , y) and (x2 , y)  its length = x2 - x1* Lets solve the problem- The two vertices of the garden are (-1 , 2) , (-1 , -2)- The side joining the two vertices is vertical because the points have   the same x-coordinate∴ The length of the height = 2 - -2 = 2 + 2 = 4∴ The length of the height of the garden is 4 feet∵ The garden shaped a rectangle∵ The area of the garden is 20 feet² - The area of the rectangle = base × height∵ The height = 4 feet∴ 20 = base × 4 ⇒ divide both sides by 4∴ Base = 5 feet∴ The length of the base of the garden is 5 feet- The adjacent side to the height of the rectangle is horizontal line∵ The points on the horizontal line have the same y-coordinates∴ The adjacent vertex to vertex (-1 , 2) has the same y-coordinates 2∵ The length of the horizontal segment is x2 - x1∴ 5 = x - (-1) ∴ 5 = x + 1 ⇒ subtract 1 from both sides∴ x = 4∴ The adjacent vertex to (-1 , 2) is (4 , 2) - Lets find the other vertex by the same way∵ The adjacent vertex to vertex (-1 , -2) has the same y-coordinates -2∵ x-coordinate of this vertex is the same with x- coordinate of point  (4 , 2) because these two points formed vertical side∴ The other vertex is (4 , -2)∴ The adjacent vertex to (-1 , -2) is (4 , -2)* The other two vertices are (4 , -2) and (4 , 2)