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The rectangular floor of a classroom is 26 feet in length and 24 feet in width. A scale drawing of the floor has a length of 13 inches. What is the area, in square inches, of the floor in the scale drawing?​

Respuesta :

Step-by-step explanation:

The area of the floor of the scale drawing and the scale factor are 72 inΒ² and 1/4 respectively

Actual Length = 36 feets

Actual width = 32 feets

Model width = 9 inches

The scale factor = 9 / 36 = 1/4

The length of the model canbe calculated thus :

Actual Length Γ— scale factor

Model width = 32 Γ— 1/4 = 8 inches

The Area of a rectangle can be calculated using the relation :

Area = Length Γ— width

Area of floor = 8 inches Γ— 9 inches = 72 inchΒ²

Therefore, the area of the floor of the scale drawing is 72 inΒ²

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