A rectangular garden has dimension of 30 m by 20 m and divided in to 4 parts by 2 pathways that run perpendicular from its sides
. One pathway has width of 8 dm and the other, 7 dm . Calculate the total usable area of the garden. [1 dm = 0.1]
1 answer:
The area depends on whether the 8dm path runs top to bottom or left to right
the followin solution will be for left to right
we need to draw a picture (see first attachment)
to simplify it, we can push the paths to the side (see second attachment)
now we can easily see that the usable area is the part not used by the paths
the width is 20-0.7=19.3
the height is 30-0.8=29.2
area=19.3*29.2=563.56 square meters
if it was frmo top to bottom
20-0.8=19.2
30-0.7=29.3
19.2*29.3=562.56 square meters
if the path is like in the attachments, then the usable area is 563.56 square meters
if the 7dm path and the 8dm path are switched, then the usable area is 562.56 square meters
the followin solution will be for left to right
we need to draw a picture (see first attachment)
to simplify it, we can push the paths to the side (see second attachment)
now we can easily see that the usable area is the part not used by the paths
the width is 20-0.7=19.3
the height is 30-0.8=29.2
area=19.3*29.2=563.56 square meters
if it was frmo top to bottom
20-0.8=19.2
30-0.7=29.3
19.2*29.3=562.56 square meters
if the path is like in the attachments, then the usable area is 563.56 square meters
if the 7dm path and the 8dm path are switched, then the usable area is 562.56 square meters
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First step: partition the number you want to square root into a block of 2 digits, starting from the last digit (first diagram)
Second step: As our number is a five-digits, we ends up with 2 28 01. Pick a number that could be squared to get the first partition, 2. This number is 1, since 1×1=1
Third step: Write 1 on the top and on the side, as shown in the second graph
Fourth step: Double the number on the side, which is 1+1=2 and use this number as the first digit for the next multiplier. Meanwhile, subtract 1 from 2 inside the root sign to get 1, then pull the other two digits, 28
Fifth step: We need a value in the boxes that when we multiply together will give a number less than 128. We choose 5 as 25×5=125
Sixth step: Subtract 125 from 128 to give 3, and as the same concept with long division, bring down the 0 and the 1. So we have 301
Seventh step: Add 5 to the multiplier on the left, so 20+5=30, which we will use on the side as the hundred and ten digits.
Final step: Find a number to fit in the boxes. We choose 1 since 301×1=301
And hence the square root of 228801 is 151
Second step: As our number is a five-digits, we ends up with 2 28 01. Pick a number that could be squared to get the first partition, 2. This number is 1, since 1×1=1
Third step: Write 1 on the top and on the side, as shown in the second graph
Fourth step: Double the number on the side, which is 1+1=2 and use this number as the first digit for the next multiplier. Meanwhile, subtract 1 from 2 inside the root sign to get 1, then pull the other two digits, 28
Fifth step: We need a value in the boxes that when we multiply together will give a number less than 128. We choose 5 as 25×5=125
Sixth step: Subtract 125 from 128 to give 3, and as the same concept with long division, bring down the 0 and the 1. So we have 301
Seventh step: Add 5 to the multiplier on the left, so 20+5=30, which we will use on the side as the hundred and ten digits.
Final step: Find a number to fit in the boxes. We choose 1 since 301×1=301
And hence the square root of 228801 is 151
1 cubic foot = 7.48 gallons
hence
unit conversion
3000 x 7.48 =22440
hence
unit conversion
3000 x 7.48 =22440