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NAME
DATE
PERIOD
Extended-Response
SCORE
Below is an example of an architect’s floor plan for a house she is designing for
Marlien. Demonstrate your knowledge by giving a clear, concise solution to each
problem. Be sure to include all relevant drawings and justify your answers. You may
show your solution in more than one way or investigate beyond the requirements of
the problem. If necessary, record your answers on another piece of paper.
Marlien’s Home (Architect Plan)
1
x–4
2
2x – 10
Master
Bedroom
x–2
Guest
Bedroom
Bathroom x – 2
Hallway
x–2
x–2
x
Living room
Kitchen
x–2
2x + 2
1
x
Units are in feet.
x–4
2
1. a. Write the algebraic expressions representing the length and width of
Marlien’s house.
b. Write the algebraic expression representing the perimeter of Marlien’s
house in simplest form.
c. If the perimeter is 142 feet, find the value of x.
2. a. Show how the Distributive Property can be used to find the area of
Marlien’s living room.
b. Write an algebraic expression for the area of the living room.
3. a. Using the algebraic expressions for the length and width of Marlien’s
living room found in the diagram and the value of x found in
Exercise 1c, find the actual length and width of her living room.
b. Find the actual area of Marlien’s living room.
4. Using the algebraic expression for area found in Exercise 2b, find the
area of the living room.
5. Are your answers to Exercise 3b and Exercise 4 the same? What can you
conclude?
Course 3 • Chapter 2 Equations in One Variable
35