Answer:
7 ft by 17 ft
Explanation:
Our goal is to express the actual dimensions of the room in square feet.
The first dimension on the drawing, 4 1/4 in, corresponds to 17 ft of actual length of the room, as seen below:
We write and solve an equation of ratios:
(4 1/4 in) 1/4 in
------------ = ----------- which comes out to (4 1/4 in)(1 ft) = (1/4 in)(x), or
x 1 ft
17 in-ft = x in, or x = 17 ft is the actual room length
and the actual room width is
(3 1/2 in) 1/4 in
-------------- = -------------, which yields room width y = 7 ft
x 1 ft