anonymous
  • anonymous
Patrick and his dad are building a shed in their backyard. They plan to put extra moving boxes filled with memorabilia they do not have room for in their house. A. His dad does not want the shed to take up too much space in the backyard. Their backyard measures 32 yards by 22 yards. First take 1/8 of the dimensions of the yard. What are the dimensions of the shed in feet? Round your answer to the nearest hundredth. Show and explain all your work. B. How much area will the shed take up in their backyard? Show and explain all your work. C. They have built the shed 7 feet high. Now
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Now they plan to paint it blue on the outside. How much paint will they need to buy to paint all 4 walls, if they do 2 coats of paint? (Hint: 1 can of paint covers 250 square feet). Show and explain all your work. D. Patrick and his dad want to put 53 boxes in the shed. Each box measures 24 inches by 18 inches by 24 inches. Will all the boxes fit in the shed? If so, how much space will they have left in feet? Show and explain all your work.
eyust707
  • eyust707
"Their backyard measures 32 yards by 22 yards. First take 1/8 of the dimensions of the yard."
eyust707
  • eyust707
What is 1/8 of 32?

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anonymous
  • anonymous
4
eyust707
  • eyust707
correct
eyust707
  • eyust707
And 1/8 of 22?
anonymous
  • anonymous
2.75
eyust707
  • eyust707
So their shed should be 4 yards by 2.75 yards
eyust707
  • eyust707
"What are the dimensions of the shed in feet?"
anonymous
  • anonymous
is that for a?
eyust707
  • eyust707
we are still working on A
anonymous
  • anonymous
ok!
eyust707
  • eyust707
How many feet are in a yard?
anonymous
  • anonymous
3
eyust707
  • eyust707
|dw:1357180922104:dw|
eyust707
  • eyust707
|dw:1357180953136:dw|
eyust707
  • eyust707
similiarly|dw:1357180974532:dw|
eyust707
  • eyust707
In feet the shed should be 12.00 ft by 7.50 ft
anonymous
  • anonymous
OK I am writing this down
eyust707
  • eyust707
sweet
anonymous
  • anonymous
alright
eyust707
  • eyust707
So part b reads: "How much area will the shed take up in their backyard?"
eyust707
  • eyust707
whats 12 x 7.5 = ??
anonymous
  • anonymous
90
anonymous
  • anonymous
ft
eyust707
  • eyust707
*square feet*!!
eyust707
  • eyust707
or ft^2
anonymous
  • anonymous
oh ok
eyust707
  • eyust707
For part C lets draw the shed|dw:1357181304571:dw|
eyust707
  • eyust707
They say were gunna build it 7 feet high
eyust707
  • eyust707
|dw:1357181366702:dw|
anonymous
  • anonymous
ok
eyust707
  • eyust707
|dw:1357181375410:dw|
eyust707
  • eyust707
they want to paint these 4 walls|dw:1357181419789:dw|
anonymous
  • anonymous
yes
eyust707
  • eyust707
how many square feet is this one|dw:1357181480246:dw|
anonymous
  • anonymous
7.5?
eyust707
  • eyust707
7 * 7.5
eyust707
  • eyust707
|dw:1357181524530:dw|
anonymous
  • anonymous
52.5
eyust707
  • eyust707
yep! and there are two of those correct?
anonymous
  • anonymous
two of what?
eyust707
  • eyust707
those walls... one here|dw:1357181622209:dw| and one here|dw:1357181630269:dw|
anonymous
  • anonymous
yes two!
anonymous
  • anonymous
They are booth 52.5?
anonymous
  • anonymous
*both
eyust707
  • eyust707
Yes! They are both 52.5 ft^2 because they have the same base and height. So the are we need to paint for those two walls is 52.5 ft^2 + 52.5 ft^2 = ???
eyust707
  • eyust707
area*
eyust707
  • eyust707
52.5 + 52.5 = 105
anonymous
  • anonymous
yes
eyust707
  • eyust707
but we cant just leave the other two walls blank! we have to paint those ones too.
eyust707
  • eyust707
How many square feet is this wall?|dw:1357181872337:dw|
anonymous
  • anonymous
12
eyust707
  • eyust707
* remember base * height
anonymous
  • anonymous
12 x 7
eyust707
  • eyust707
yes!
anonymous
  • anonymous
is 84
anonymous
  • anonymous
84^2
anonymous
  • anonymous
ft
eyust707
  • eyust707
84 ft^2
eyust707
  • eyust707
and there are two of those...
eyust707
  • eyust707
84 ft^2 + 84 ft^2 =168 ft^2
anonymous
  • anonymous
yes
eyust707
  • eyust707
So the total sq feet that we have to paint is 105 + 168
anonymous
  • anonymous
273ft^2
eyust707
  • eyust707
yep.. but wait a minute that's if we paint it once
eyust707
  • eyust707
they want us to paint two coats...
anonymous
  • anonymous
oh
anonymous
  • anonymous
so x 2
eyust707
  • eyust707
yes!
anonymous
  • anonymous
ok so that is 546^2ft
eyust707
  • eyust707
yep
eyust707
  • eyust707
thats how many square feet total we need to cover with paint
eyust707
  • eyust707
each can of paint covers 250 square feet
eyust707
  • eyust707
how many cans do we need?
anonymous
  • anonymous
Are we still on c?
eyust707
  • eyust707
yep
anonymous
  • anonymous
ok
eyust707
  • eyust707
each can overs 250 ft^2 how many can do we need to cover 546 ft^2
anonymous
  • anonymous
3 cans
eyust707
  • eyust707
bingo
eyust707
  • eyust707
done with c
anonymous
  • anonymous
:) Great!
eyust707
  • eyust707
for D we have to see if we can fit 53 boxes into the shed
anonymous
  • anonymous
ok
eyust707
  • eyust707
each box is 24 in by 18 in by 24 in.
eyust707
  • eyust707
since we are already in feet if we should change each of those to feet