Question

The rectangular floor of a classroom is 30 feet in length and 38 feet in width. A scale drawing of the floor has a length of 15 inches. What is the perimeter, in inches, of the floor in the scale drawing?

Answer 1

P = 2L + 2W

W = 5

P = 2L + 2(5) = 16

2L + 10 = 16

2L = 6

L = 3 ft

Explanation:

So we know that the perimeter of a rectangle= 2 (length + width).

We set up the equation so it's 16= 2 (length+ 5)

Divide both sides by 2, so 8 = length + 5.

Subtract 5 from both sides and you get length = 3

Answer 2

Length of the rectangular floor of a classroom = 30 feet

Width of the rectangular floor of a classroom = 38 feet

Length of the floor in a scale drawing = 15 inches

Which means, 1 inch is equal to :

`= \tt(30)/(15)`

`= \tt2 \: feet`

Thus, 1 inch in the drawing is equivalent to 2 feet of the floor.

Then, width of floor in the scale drawing :

`= \tt(38)/(2)`

`= \tt19 \: inches`

Thus, the width of the floor in the scale drawing = 19 inches

Perimeter of the floor in the scale drawing :

`= \tt2(length + breadth)`

`=\tt 2(15 + 19)`

`=\tt 2(34)`

`=\color{plum}\tt68 \: inches`

Thus, perimeter = 68 inches

Therefore, the perimeter of the rectangular floor in the scale drawing = 68 inches