Answer:
(c-a,b)
Step-by-step explanation:
Bottom of shape is equal to 4a, or c.
R is to be located at (3a, b)
c-a=3a, ∴r: (c-a,b)
It is given that area( Δ ab c) =6 square units.
Also ab║d e
⇒b d =4 b c
I have depicted picture below.
Consider Δ cde in which points a and b are in the interior such that ab║de.
So, as you know that if in a triangle line joining two points is parallel to third side then the two sides are proportional.i.e
⇒ca/ae =cb / bd
Also, ∠ c is common.
∴Δcab is similar to Δ cde.
As we know if ratio of areas of two similar triangles is square of their corresponding sides.
=
⇒6/Δcde =1/4
⇒Ar (Δ cde)=6×4
Ar (Δ cde) =24 square centimeter
1/2 because it’s going up 2 and to the side 1 times. So the answer is positive 1/2 thank you