Area Problem: A house has two rooms of equal area....

[imahobo23]

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

Please explain to me what to do because i am confused. Thanks

 

[stapel]

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

i) Pick a variable for the side-length of the square room.

ii) Write an expression, in terms of the variable in (i), for the area of the square room.

iii) Draw a picture of the rectangular room.

iv) Using the variable in (i) and the relationship provided, label the long side of your drawing with an expression for the length of the second room.

v) Using the variable in (i) and the relationship provided, label the short side of your drawing with an expression for the width of the second room.

vi) Write an expression, in terms of (iv) and (v), for the area of the second room.

vii) Use the given relationship between the areas to create an equation in terms of (ii) and (vi).

viii) Solve the equation in (vii) for the value of the variable.

ix) Back-solve, in terms of the original exercise, for the two areas.

If you get stuck, please reply showing how far you have gotten in working through the steps. Thank you!

Eliz.