English, asked by shanayap1652, 1 year ago

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


Anonymous: ___k off

Answers

Answered by santy2
2

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

Answered by aqibkincsem
0

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.

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