9. here is the whole floor that zahras office is on. each room is a scaled copy of every other room. the…

9. 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.

9. 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.

Answer

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