Respuesta :
Answer:
the remaining two vertices must be (4, -7) and (10, -7).
Step-by-step explanation:
The vertices (4, 5) and (10, 5) lie on the same horizontal line, y = 5. The length of the rectangle is the difference between the two x-coordinates: 10 - 4, or 6.
Let's denote 6 as the width. Then the length is twice that, or 12.
Then the remaining two vertices must be (4, -7) and (10, -7).
Check: is the width 6? Does 10 - 4 equal 6? Yes
Is the length twice the width, or 12? Does 5 - (-7) = 12? YES
The other vertices are located at (4, -7 ) and (10, -7)
Area of a rectangle
Given two points on a rectangle as (4, 5) and (10, 5)
Since both coordinates lies on the same y axis, then the width of the triangle is expressed as;
width = 2(10-4)
width = 12 units
The y coordinate of the other vertices will be;
y = 5 - 12
y = -7
Hence the other vertices are located at (4, -7 ) and (10, -7)
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