Question

An architect is drawing a floor plan of a house. The length of the house is 60 feet and the area of the house is 2100 square feet. If the scale of the floor plan is 0.25 inch = 1 ft, how wide is the house of the floor plan?

Answer 1

Answer:

The wide of the house of the floor plan is 8.75 inches.

Step-by-step explanation:

Given : An architect is drawing a floor plan of a house. The length of the house is 60 feet and the area of the house is 2100 square feet. If the scale of the floor plan is 0.25 inch = 1 ft.

To find : How wide is the house of the floor plan?

Solution :

If the scale of the floor plan is 0.25 inch = 1 ft.

The length of the house is 60 feet.

The length in inches is 60 feet= $60\times 0.25=15\ in$

The scale in square as 1 ft² = 0.0625 in²

The area of the house is 2100 square feet.

2100 ft² = $0.0625 \times 2100=131.25\ in^2$

The area of the floor is

$A=l\times b$

$131.25=15\times b$

$b=\frac{131.25}{15}$

$b=8.75$

The wide of the house of the floor plan is 8.75 inches.