Question

A scale drawing of a bedroom is shown below. The scale is 1: 30.

A rectangle is shown. The length of the rectangle is labeled 3 inches. The width of the rectangle is labeled 4 inches.
Show your work to determine the area of the room in square feet.

Answer 1

Step-by-step explanation:

Here scale used Is - 1:30

Means 1 inch = 30 feet

so 3 = 90

4 = 120

so area = 90×120

=> 10800 ft²

Answer 2

The area of the room is 160 square feet.

Length of the rectangle shown = 3 inches

Breadth of the rectangle = 4 inches

Scale = 1:30

That is, one inch on the shown rectangle is 30 inches on the real room.

This makes the real dimensions of the room:

Length= 3×40= 120 inches

Breadth= 4×40= 160 inches

Now, 1 feet = 12 inches

So, dimensions of the room in feet:

Length= 12 feet

Breadth= $\frac{160}{12}$ feet

Area in sq. ft. = 12×$\frac{160}{12}$ = 160 square feet.