An architect draws blueprint of house using scale 1 inch equals 6 ft. Kitchen measures 19 1/20th by 22 1/2 ft, what are the dimensions for the kitchen
I will assume you have a typo, and your kitchen is
19 1/20 ft by 22 1/2 ft
or 19.05 by 22.5
6 ft = 72 inches so the scale is 1 : 72
divide each of the kitchen dimensions by 72
To determine the dimensions of the kitchen on the blueprint, we need to convert the actual dimensions to the scale used by the architect.
The scale being used is 1 inch equals 6 ft.
First, we need to convert the dimensions of the kitchen from feet to inches.
19 1/20th ft can be simplified to 19.05 ft (since 1/20th ft is equal to 0.05 ft).
So, the length of the kitchen is 19.05 ft.
22 1/2 ft can be written as 22.5 ft.
Next, we can convert the dimensions from feet to inches by multiplying each dimension by 12 (since there are 12 inches in 1 foot).
19.05 ft x 12 = 228.6 inches
22.5 ft x 12 = 270 inches
Now, we can apply the scale to determine the dimensions on the blueprint.
Using the scale 1 inch equals 6 ft:
Length on the blueprint = 228.6 inches / 6 = 38.1 inches
Width on the blueprint = 270 inches / 6 = 45 inches
Therefore, the dimensions of the kitchen on the blueprint are 38.1 inches by 45 inches.
To determine the dimensions of the kitchen on the architect's blueprint, we need to use the given scale of 1 inch equals 6 feet.
Step 1: Convert the dimensions of the kitchen into inches.
Kitchen dimensions: 19 1/20th ft by 22 1/2 ft
To convert 19 1/20th ft into inches: 19 1/20 * 12 = 228.6 inches
To convert 22 1/2 ft into inches: 22.5 * 12 = 270 inches
So, the kitchen dimensions in inches are approximately 228.6 inches by 270 inches.
Step 2: Apply the scale to determine the dimensions on the blueprint.
Since 1 inch on the blueprint represents 6 feet in reality, we need to divide the kitchen dimensions in inches by 6 to determine the dimensions on the blueprint.
Kitchen width on the blueprint: 228.6 inches / 6 = 38.1 inches
Kitchen length on the blueprint: 270 inches / 6 = 45 inches
Therefore, according to the 1 inch equals 6 feet scale, the dimensions for the kitchen on the architect's blueprint would be approximately 38.1 inches by 45 inches.