Question

10.
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 9 inches. What is the area, in
square inches, of the floor in the scale drawing?

Answer 1

Answer:

72 square inches.

Step-by-step explanation:

Convert feet and inches.

36 feet = 36*12  inches

                          =432 inches

Width of the floor; Converted from feet to inches:

32 feet = 32*12  inches

                          = 384 inches

Calculate how many times the length (l) has been scaled down.

432 inches of length has been reduced to 9 inches.

$\frac{432}{9}=48$

Now the length has been scaled down 48 times.

Scale down the width (w) 48 times.

$\frac{384}{48} =8$

The width of the scale drawing = 8 in

Area of the Scale drawing = Scaled down length * Scaled down width

                                        $=9*8 =72in^{2}$