SOLUTION: A house has two rooms of equal area. One room is square and the other room is a rectangle 4 ft narrower and 5 ft longer than the square room. Find the area of each room.

Question 173887: A house has two rooms of equal area. One room is square and the other room is a rectangle 4 ft narrower and 5 ft longer than the square room. Find the area of each room.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
: A house has two rooms of equal area. One room is square and the other room
is a rectangle 4 ft narrower and 5 ft longer than the square room.
Find the area of each room.
:
Let x = side of the square room
then
x^2 = area of the square room
:
(x+5) = length of the rectangular room
(x-4) = width of the rectangular room
Find the area of the rectangular room
A = (x+5)*(x-4) = area
FOIL
A = x^2 + x - 20
:
Rect area = square area
x^2 + x - 20 = x^2
:
x^2 - x^2 + x = +20
:
x = 20 ft side of the square (A = 400 sq/ft)
and
20+5 = 25 ft length of rect room
20-4 = 16 ft width of rect room (A = 400 sq/ft)

RELATED QUESTIONS
A house has two rooms of equal area. One room is square and the other room is a rectangle (answered by NRobinson)

A house has two rooms of equal area. One room is square and the other room is rectangle... (answered by macston)

a house has 2 rooms of equal area. 1 room is square and the other is a rectangle 4 ft... (answered by checkley77)

I need help on this problem please. A house has two rooms of equal area. One room is... (answered by stanbon)

9) A house has two rooms of equal area. One room is square and the other is 6 ft... (answered by richwmiller)

A house has two rooms of equal area. One room is square and the other room is a rectangle (answered by pwac)

A house has two rooms of equal area. One room is square and the other room is a rectangle (answered by checkley71)

A house had two rooms of equal area. One room is square and the other roon is a rectangle (answered by jim_thompson5910,scott8148)

Can you please help me with this: Sam has two rectangle rooms in her house, the combined... (answered by mananth)