Answer:
a. 270 square feet
b. 3.75 inches by 4.5 inches
c. $10,260
Step-by-step explanation:
A rectangular room measures 15 feet by 18 feet. It is going to be carpeted with carpeting that sells for $38 per square foot.
a. What is the area of the room in square feet?
Area of a rectangular room = Length × Width
Length = 15 feet
Width = 18 feet
Area of the room = 15 feet × 18 feet
= 270 square feet
b. If the room is drawn to 1/4 inch represents 1 foot scale, give the dimension of the room in inches on the scale drawing. Please write in decimal form to the nearest hundredth.
From the above question:
1/4 inch = 1 foot
Length = 15 feet
Hence:
1 foot = 1/4 inch
15 feet = x inch
Cross Multiply
x = 15 × 1/4 inch
x = 3.75 inches
For the Width = 18 feet
Hence:
1 foot = 1/4 inch
18 feet = x inch
Cross Multiply
x = 18 × 1/4 inch
x = 4.5 inches
Therefore, the dimensions of the room in inches is
3.75 inches by 4.5 inches
c. What is the total price for the carpeting? _
From the above question, we know that: A square foot of carpet is sold for $38
The area of the room is 270 square feet
Hence:
1 ft² = $38
270 ft² = $x
Cross Multiply
1ft² × $x = 270 ft² × $38
$x = 270 ft² × $38/ 1 ft²
$x = $10,260
Therefore, the total price for the carpeting of the room is $10,260.
