The diagraom shows the plan of a classroom. a) Find the actual dimensions in meters of the classroom. b) Find the ratio of the area of the classroom on the plan to the actual area.
The classroom's width is 3.5cm and the classroom's length is 4 cm and the scale is 1 : 400.
2006-10-08 12:52:03 · 8 answers · asked by Jackie C 1 in Science & Mathematics ➔ Mathematics
the actual dimensions are 3.5*400cm by 4*400 cm
14m by 16m
area on the plan=3.5*4=14 cm^2
actual area=14*16=224 m^2
ratioof area on the plan to actual area=1:160000
2006-10-08 13:05:47 · answer #1 · answered by raj 7 · 0⤊ 0⤋
A)
Width of the class = 3.5cm * 400 = 1400 cm = 14 meters
Length of the class = 4 cm * 400 = 1600 cm = 16 meters
B)
Now, according to the plan, Area of the classroom is 3.5 cm * 4 cm = 14 sq. cm = 0.14 sq m
Area of the class according to actual dimensions = 14 m * 16 m
= 224 sq m
So the ratio of the area = 1:1600
2006-10-08 12:57:08 · answer #2 · answered by aazib_1 3 · 0⤊ 0⤋
The classroom's width is 3.5cm and the classroom's length is 4 cm and the scale is 1 : 400
if the scale is 1:400
then the width of the classroom would be 3.5 x 400 and length is 4 x 400.
ratio is 3.5 x 4 : (3.5x400) x (4x400)
2006-10-08 12:55:11 · answer #3 · answered by Anonymous · 0⤊ 0⤋
a)
The width will be 400*3.5 cm = 1400 cm = 14 m.
The length will be 400*4 cm = 1600 cm = 16 m.
b)
The ratio of the areas will be 1:400^2. To see this, note that the area of the actual classroom is 14*16 m^2 = 2,240,000 cm^2, while the area of the diagram is 14 cm, and 2,240,000/14 = 160,000 = 400^2.
2006-10-08 12:57:41 · answer #4 · answered by James L 5 · 0⤊ 0⤋
The scale is 1 drawing unit = 400 actual units
3.5 cm drawing units x 400 actual units/drawing unit
actual dimension is 1400 cm or 14 meters
Do the same for the length.
2006-10-08 12:56:35 · answer #5 · answered by Roadkill 6 · 0⤊ 0⤋
3.5 cm X 400 = 1400 cm = 14 meters
4.0 cm X 400 = 1600 cm = 16 meters
14 X 16 = 224 sq meters.
2006-10-08 13:00:35 · answer #6 · answered by Rick 2 · 0⤊ 0⤋
3.5cm x 400 = 1400cm = 14m
4cm x 400 = 1600 = 16m
Area on diagram: 3.5x4 = 14cm^2
Actual Area 14 x 16 = 224m^2 = 2240000
(1m^2 = 10000cm^2)
Ratio = 14/2240000
= 1/160000 (which is also 1:(400^2)
2006-10-08 13:00:08 · answer #7 · answered by jesusbagpuss 1 · 0⤊ 0⤋
The scale allows you to convert the drawing dimensions into real dimensions. How much bigger would a real classroom be, compared to 3.5 cm?
2006-10-08 12:54:20 · answer #8 · answered by arbiter007 6 · 0⤊ 0⤋