Question 197128: The base of a triangle is 2cm shorter than the width of a rectangle. The rectangle's length is 4 times the width and the triangle's height is twice the rectangle's length. Find the area of each figure if the difference of their areas is 30m^2. Answer by edjones(7569) (Show Source):
You can put this solution on YOUR website! Let w=width of the rectangle.
base of triangle=w-2
length of rectangle=4w
height of triangle=8w
Area of rectangle=4w^2
area of triangle=8w(w-2)/2
=4w^2-8w which is smaller than the area of the rectangle.
15*3.75=56.25m^2 area of rectangle.
30*1.75/2=26.25m^2 area of triangle