Question

the rectangular floor of a classroom is 36 feet and in length and 32 feet in width a scale drawing of the floor has a length of 9 inches what is the area in square inches of the floor and the scale drawing

Answer 1

Answer:

Area of the floor of the classroom is 72 inch².

Step-by-step explanation:

We are given the dimensions of the rectangular floor as,

Length = 36 feet and Width = 32 feet

Since, the scale drawing have the length = 9 inches

This gives, the ratio of the actual length to the scale drawing length = $\frac{36}{9}$

Thus, we have,

$\frac{36}{9}=\frac{32}{x}$, where x is the width in the scale drawing.

So, on solving,

$x=\frac{32\times 9}{36}$ i.e. x= 8 inches

Since, Area of the rectangle= Length × Width

Thus, area of the rectangular floor = 9 × 8 = 72 inch².

Thus, the area of the floor of the classroom is 72 inch².

Answer 2

The area of the floor of the scale drawing and the scale factor are 72 in² 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 × scale factor

Model width = 32 × 1/4 = 8 inches

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

• Area = Length × width

Area of floor = 8 inches × 9 inches = 72 inch²

Therefore, the area of the floor of the scale drawing is 72 in²

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