Question

HELP ASAP PLZ :)

A triangle poster is twice as long as its height. A rectangular banner is 3 inches longer than its width. Both the poster and the banner have areas of 648 square inches.

1. What is the height and the base of the poster?
2. what is the lengh and the width of the banner?

Answer 1

for the triangle...

b=2h

a=(1\2).bh=648

(1/2).2h.h=648

h2=648

h-18|2 in

h=36|2 in

for the rectangle...

L=3+w

a=l+w=648

{3+w}w=648

w2+3w-648=0

Only positive W values make sense here..

w-24=0

w=24 in

So..

L=3+24