Question

Assamese scale athen blueprint is 1 inch = 3 feet. The blueprint of a kitchen has dimensions of 6 inches by 6 inches. What is the area of the actual kitchen?

a) 54 square feet
b) 324 square feet
c) 18 square feet
d) 36 square feet

Answer 1

The actual area of the kitchen, when converted from the blueprint scale where 1 inch = 3 feet and the dimensions are 6 inches by 6 inches, is 324 square feet, corresponding to option b).

Step-by-step explanation:

The question asks to determine the area of the actual kitchen when the blueprint uses a scale of 1 inch = 3 feet and the kitchen's dimensions on the blueprint are 6 inches by 6 inches. To calculate the actual area, we first convert the dimensions from inches to feet using the given scale. This means:

• Length: 6 inches × 3 feet/inch = 18 feet
• Width: 6 inches × 3 feet/inch = 18 feet

Now, we find the area of the actual kitchen by multiplying the length and width:

Actual area = Length × Width = 18 feet × 18 feet = 324 square feet

Therefore, the area of the actual kitchen is 324 square feet, which corresponds to option b).