Answer:
The other two vertices are (4 , -2) and (4 , 2) ⇒ 2nd answer
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)