Question

Can you guys please help me with math? (Pt 2.)

(I've attached the picture)

Elian is placing a rectangle in the coordinate plane. He knows that the shorter side of the rectangle is half 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)

it didnt move left or right on the x-axis
it went up a units (since its half of 2a)

Answer 2

Let

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

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

we know that

`y=(1)/(2)x` ------> equation A

`x=2a\ units` ---------> given problem (see the graph)

substitute the value of x in the equation A

`y=(1)/(2)2a=a\ units`

therefore

the answer is

the top-left vertex of the rectangle is the point
`(0,a)`