if the rectangular floor of a classroom is 36 feet in length and 32 feet in width a scale drawing of the floor has a length of of 9 inches. what is the area in square inches of the floor in the sacle drawing
Answers
Answer:
72 inch²
Explanation:
We need to calculate the scale used in the drawing.
The original length = 36 feet.
The sketched length = 9 inches
Scale = original length / sketched length
= 36/9 = 4 feet per inch.
This is written as :
1 inch = 4 feet
We can also get the scale for the square.
We square both sides of the scale :
1 inch² = 4²feet²
1 inch² = 16feet²
The area of the Rectangle in square feet is given by :
Area = 36 × 32 = 1152 feet²
From the scale :
1 inch² = 16 feet²
? = 1152 feet²
By cross multiplication we have :
1152/16 × 1 = 72 inch²
Answer:
scale: map length : actual length = 9”: 36 feet.
Convert all in same unit: Ratio of map : actual =9 inches : 432”
Locating 1 inch on the map:map : actual = 1 inches : 48 inches.
Therefore the reqd. scale is: map : actual = 1 : 48.
Finding the area on the map.
Length = 9 inches.
Width = 32 ÷ 48 = 2/3 inches.
Area = 9 x 2/3 = 6 in².
Hence
Answer: The area is 6 square.