Question

Jannah places a rectangle in the coordinate plane so that the lower left vertex is at the origin and the longer side of the rectangle is along the x-axis.

Jannah knows that the length of the rectangle is 3 times its width. She labels the coordinates of the lower right vertex as (3a, 0).



What coordinates should Jannah use to label the upper right vertex of the rectangle?


(a, 3a)

(a over 3,0)


(3a, 3a)

(3a, a)

(3a, a over 3)

Answer 1

(d) (3a, a)

Explanation:

You want to know the upper right vertex of a rectangle with long-side coordinates (0, 0) and (3a, 0) such that the side in the x-direction is 3 times the side in the y-direction.

Width

If the length is 3a and is 3 times the width, then the width is 'a'.

Vertex

The point at upper right will have its x-coordinate equal to 3a, and its y-coordinate equal to 'a'. That point is (3a, a).