The floor plan of an apartment is drawn to a scale of 1 : n.
(a) The master bedroom measures 1.8cm by 1.5cm in the floor plan. If the actual area of the master bedroom is 24.3cm^2, find the value of n.
ans: 300
show workings pls..
2007-10-17 19:28:37 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
mistake...the master bedroom is 24.3 m^2..
2007-10-17 19:44:28 · update #1
The scale is 1:n
In the floor plan,
Area of master bedroom = (1.8 * 1.5) cm^2
= 2.7 cm^2
Actual area of master bedroom = 24.3 cm^2
n^2 = Actual area/Area in plan
= 24.3/2.7
= 9
n^2 = 9
n = 3
You say the answer is 300. I get 3. So there must be something wrong here.
I wondered from the start how a bedroom can only have 24.3 cm^2 area. Let's take 24.3 m^2, and see what happens.
1m^2 = 10000 cm^2
24.3 m^2 = 243000 cm^2
n^2 = 243000/2.7
= 90000
n = 300
So it must have been 24.3 m^2. Please check up.
EDIT: Told you so!!
2007-10-17 19:40:32 · answer #1 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋
i think the answer is 1:9 that n=9. make sure u check the answer correct. because all ur answers in cm. it is just 24.3cm^2/(1.8cm*1.5cm)=9.
hope it's right...
2007-10-17 19:41:32 · answer #2 · answered by Kam 2 · 0⤊ 1⤋
Actual measures of the bedroom are:
1.8n by 1.5n
Therefore, actual area of the bedroom = 1.8n * 1.5n
= 2.7n^2
Since, actual area of the bedroom is given:
2.7n^2 = 24.3
n^2 = 9
n = 3.00
(The answer is NOT 300. Maybe you wrote 3.00 as 300)
2007-10-17 19:37:00 · answer #3 · answered by seminewton 3 · 0⤊ 1⤋