Mhanifa, can you help me with this?

Mathematics

1 answer:

Evgen [1.6K]3 years ago

4 0

9514 1404 393

Answer:

shape: rectangle
27.5 square inches
1 1/8 inches by 1 2/3 inches
see attached

Step-by-step explanation:

The drawing scale is ...

1/4" : 1 ft = 1/4" : 12" = 1 : 48

1) The bedroom shape has two pairs of parallel sides and right-angle corners. It is a rectangle.

2) The area of the drawing is 20(1/4 in) × (22(1/4 in)) = 440(1/16 in²)

= 27.5 square inches . . . . area of the bedroom on the drawing

3) The drawing side of the bed is 1/48 of the bed's actual dimensions, so is ...

54/48 in × 80/48 in = 1 1/8 in × 1 2/3 in . . . . size of the bed on the drawing

4) The drawing looks like it may have been made on a 1/4" grid, but there are only 17 grid squares along the side labeled 20 (feet). So, we actually have no good reference for size. Using the dimension marked as 3 feet for reference we estimated the bed size, trying for 4 1/2 by 6 2/3 feet.

When we print the figure to a piece of paper, we have to scale it to 88.1% to make the 20-foot dimension come out 5 inches. Doing that shows our bed outline is about 82 inches long, not 80 inches long. YMMV