Carmen hired a landscaper to design a small garden at the side of her house. The garden will measure 2 m by 3 m, and it will contain a mixture of perennial plants. The landscaper wants to draw a scale diagram of Carmen’s garden on a piece of paper that measures 30 cm by 50 cm.
a) Determine a suitable scale for the scale diagram so that it will fit on the piece of paper
b) Determine the dimensions of the scale diagram, using the scale you determined in part a
c) According to the landscaper, five perennial plants can be planted in each square metre of the garden. If each perennial costs $2.50, what will be the total cost of all the perennials needed to fill the garden?
2006-11-01 05:07:44 · 6 answers · asked by mizz.dhillon 1 in Education & Reference ➔ Homework Help
First convert 2m to cm =200cm
3m to cm = 300cm
Now you have to scale that down to fit on 30cm by 50cm paper
If you divide 200cm by 10 =20
divide 300cm by 10 = 30
Hay, it will fit on the paper and the answer to a) is 1/10 scale
The answer to b) is 20cm by 30cm
Now for c) 5 plants per square meter so
to get the square meter you multiple 2m *3m = 6square meters
5 plants per square meter so 6 * 5 = 30
each plant cost $2.50 times 30 = $75
2006-11-01 05:26:45 · answer #1 · answered by Brian 5 · 0⤊ 0⤋
a Top fit in the dimensions of the paper 30 cm x 50 cm you will need to draw a rectangle that is in scale and which will fit on the paper. Thus the rectangle is of the proportion 2 by 3. The largest way to do it wiould be to use the full width of the paper (30 cm) which equals two, and (45 cm) which equals three. This will leave a border of 2 1/2 cm on each end.
b The scale is calculated by dividing the measurements into the full scale model so:-
2 metres equals 2000 cm so
2000/30 = 66.66 times as big so that's your scale 66.66 to 1.
c As the area of the garden is 2 metres by 3 metres this equals 2x3 = 6 square metres.
Each square metre has 5 perennial plants so the total number of plants is
5 x 6 = 30
Each perennial costs $2.50 so 30 would cost
30 x $2.50 = $75.00
2006-11-01 05:22:59 · answer #2 · answered by quatt47 7 · 0⤊ 0⤋
Make each cm on the paper equal to a tenth of a meter. So to represent 2 m you would have 20 cm on the paper; to represent 3m you would have 30 cm on the paper. That would fit easily on your 30cm x 50cm sheet.
The total square yardage of the plot is 2m x 3m = 6 sq. m. Five perennial plants can be planted in each square meter, so you can accomodate 6 x 5 = 30 plants. Each plant costs 2.50 so you would need 30 x $2.50 = $75.00 to fill the garden.
2006-11-01 05:29:51 · answer #3 · answered by G.V. 6 · 0⤊ 0⤋
put paper so long side is on the bottom (50 cm). use scale 1 m = 15 cm. then 2 m = 30 cm and 3 m = 45 cm, so it'll fill out the "height" of the paper and almost fill out the width.
2 x 3 = 6 sq. meters and 5 plants per sq. m so total # plants = 30 and 30 x 2.5 = $75.
2006-11-01 05:21:26 · answer #4 · answered by steven o 2 · 0⤊ 0⤋
A&B) The easiest scale would be to utilize 20x30cm of the paper, and the scale would be 1m:10cm. If this is math homework, your teacher may want you to come up with a different formula for establishing the scale.
C) First, figure out how many square meters are in the garden, based on the dimensions. Then multiply that by how many plants will be in each sq m. Then multiply that by the cost per plant ($2.50).
2006-11-01 05:19:43 · answer #5 · answered by Ali 5 · 0⤊ 0⤋
I am so glad my school daze are over. I have no clue how to deal with this question, except by algebra, which I detest.
2006-11-01 05:10:33 · answer #6 · answered by beez 7 · 0⤊ 1⤋