Question

Christina's family is building a house. On the blueprint, Christina's rectangular room measures 10 cm by 12 cm. The map scale shows (1/4)inch equals 5 miles. What is the actual area of Christina's room?

A) 6,000 square miles
B) 7,200 square miles
C) 9,000 square miles
D) 10,800 square miles

Answer 1

To find the actual area of Christina's room, we need to convert the measurements on the blueprint to actual measurements using the map scale.

Step-by-step explanation:

To find the actual area of Christina's room, we need to convert the measurements on the blueprint to actual measurements using the map scale. The map scale shows that 1/4 inch on the blueprint represents 5 miles in reality. So, to find the actual length and width of the room, we multiply the lengths on the blueprint by the scale factor:

• Actual length = 10 cm * (5 miles / 1/4 inch)
• Actual width = 12 cm * (5 miles / 1/4 inch)

Next, we calculate the actual area of the room by multiplying the actual length and width:

Actual area = Actual length * Actual width