Question

Peter is placing a rectangle in the coordinate plane. He knows that the shorter side of the rectangle is one-third the length of the longer side. He places the longer side on the x-axis.

What coordinates should he assign to the top-left vertex of the rectangle?

Enter your answer in the boxes.

Answer 1

`(0,a)`

Explanation:

Let

x-------> the length side of the rectangle

y------> the width side of the rectangle

we know that

`y=(1)/(3)x` ---> equation A

`x=3a` ---> equation B (given problem)

substitute equation B in equation A

`y=(1)/(3)3a=a`

so

the coordinate of the top-left vertex of the rectangle is equal to

`(0,a)`