Begin by drawing a 350 square feet bedroom with possible dimensions.
Example Solution:
Practice makes perfect
To begin, let's draw the outline of the bedroom.
We can assume that the bedroom is rectangular in shape. The room can have any dimensions such that the area of the room is 350 square feet. To calculate the area of a rectangle, we use
A= l w,
where l is the length and w is the width. Thus, the dimensions of the room can be any pair of numbers that multiply to 350.
We will arbitrarily choose the length to be 35 feet and the width to be 10 feet. Let's sketch the room on a coordinate plane.
It is given that we want to remodel the bedroom so that the space includes a bathroom whose area is 150 square feet. We will let the bathroom also be in the shape of a rectangle. We can separate the bedroom and bathroom space with a wall.
We can use the formula
A_b=l_b* w_b
for the bathroom. The width of the bathroom w_b is set by the width of the bedroom, and is 10 feet. Since the bathroom is going to have an area of A_b=150 square feet, we then get its length l_b as
A_b=l_b* w_b ⇒ l_b=A_b/w_b=150/10=15 ft.
Let's now draw the diagram of the bedroom and the bathroom with the dimensions.
