Question

In a rectangular room, the scale is 1:45 ft. Find the perimeter and area.

a) Perimeter: 90 ft, Area: 4050 sq ft
b) Perimeter: 91 ft, Area: 4095 sq ft
c) Perimeter: 92 ft, Area: 4140 sq ft
d) Perimeter: 93 ft, Area: 4185 sq ft

Answer 1

To find the perimeter and area of a rectangular room, use the given scale to determine the actual dimensions. Then use the formulas for perimeter and area to calculate the values.

Step-by-step explanation:

To find the perimeter and area of a rectangular room, we need to know the length and width of the room. In this case, the scale is 1:45 ft, which means that every 1 unit on the scale drawing represents 45 feet in the actual room.

Let's say the length and width of the scale drawing are l and w, respectively.

The actual length would be 45l and the actual width would be 45w.

Therefore, the perimeter of the room would be

2(45l + 45w) = 90(l + w) ft.

And the area of the room would be

(45l)(45w) = 2025lw sq ft.

Given that the goal is to find the perimeter and area, option a) Perimeter: 90 ft, Area: 4050 sq ft is the correct answer.