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

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

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* 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 * 2100=131.25\ in^2`

The area of the floor is

`A=l* b`

`131.25=15* b`

`b=(131.25)/(15)`

`b=8.75`

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