Question

1. here is the whole floor that zahras office is on. each room is a scaled copy of every other room. the scale for this blueprint is 6 centimeters to 15 feet. use any strategy to determine the actual area of the room with the question mark.

Explanation:

Step1: Find the scale factor

The scale is 6 cm to 15 feet. The scale - factor for length $k=\frac{15}{6}=\frac{5}{2}$ feet per cm.

Step2: Determine the dimensions of the room on the blueprint

Let's assume the dimensions of the room with the question - mark on the blueprint. The width of the room on the blueprint is 4 cm and the length is 8 cm.

Step3: Convert the blueprint dimensions to actual dimensions

The actual width $w = 4\times\frac{5}{2}=10$ feet.
The actual length $l = 8\times\frac{5}{2}=20$ feet.

Step4: Calculate the actual area

The area of a rectangle is $A = l\times w$. So, $A=20\times10 = 200$ square feet.

Answer:

200 square feet