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

Answer:

$(0,a)$

Step-by-step explanation:

Let

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

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

we know that

$y=\frac{1}{3}x$ ---> equation A

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

substitute equation B in equation A

$y=\frac{1}{3}3a=a$

so

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

$(0,a)$