Question

frank is drawing a floor plan of his house so he can remodel.
he measures the length of a room, and then draws it on the floor plan.
the family room is 26 feet long.
how long should the family room be on the floor plan?
\frac{\square}{\square} inches
(image: a floor plan with kitchen, living room, dining room, family room, and a scale of \frac{1}{4} in. = 1 ft.)

Explanation:

Step1: Understand the scale

The scale is $\frac{1}{4}$ inch = 1 foot. This means 1 foot in real life is represented by $\frac{1}{4}$ inch on the floor plan.

Step2: Calculate the length on the floor plan

The family room is 26 feet long. To find the length on the floor plan, we multiply the real length (26 feet) by the scale factor ($\frac{1}{4}$ inch per foot). So we calculate $26\times\frac{1}{4}$.
$26\times\frac{1}{4}=\frac{26}{4}=\frac{13}{2} = 6.5$ or $6\frac{1}{2}$.

Answer:

$6\frac{1}{2}$ (or 6.5) inches