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ACT Aspire Math: Solving for Area to Create the Perfect Goat Yoga Fence 6 Views
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Description:
After recently acquiring some baby goats, Edward wants to fence off a rectangular portion of his backyard that encompasses an area of 396 ft2. He has already fenced off both vertical sides of the area with a total of 18 planks, each of which is 2 feet long.
If planks come in bundles of five, how many bundles should Edward buy?
Transcript
- 00:02
Okay Aspiring math people Here we go Next question up
- 00:06
After recently acquiring some baby go ths edward wants to
- 00:10
fence off a rectangular portion of his backyard that encompasses
- 00:14
an area of three hundred ninety six four feet He's
- 00:17
already fenced off both vertical sides of the area with
Full Transcript
- 00:22
a total of eighteen planks each of which is two
- 00:25
feet long Alright if planks come in bundles of five
- 00:28
how many bundles should edward by So hold on just
- 00:35
a sec We're goingto enquire with edward whether his baby
- 00:38
goats are available for a goat yoga session I've ever
- 00:41
seen one of those Yeah that's what they look like
- 00:42
Well score before we borrow these goats for our yoga
- 00:45
sash will help edward build his fence The two vertical
- 00:48
sides of the fence off area required eighteen planes which
- 00:52
means one side requires nine planks and so does the
- 00:56
other Well each plank is two feet long so use
- 00:59
that combination to find the length of the rectangle in
- 01:02
question Looks like this We got nine planes times Two
- 01:05
feet of plant gets your eighteen feet So the length
- 01:08
of the fenced off areas Eighteen feet there Yeah since
- 01:11
area is length multiplied by with well used that equation
- 01:15
Tau find the width of the rectangle Right So area
- 01:19
equals l times w and we already know that the
- 01:21
areas three ninety six and that equals eighteen times whatever
- 01:25
with is so we get that equation We divide eighteen
- 01:28
by both sides and that gets us ah twenty two
- 01:32
feet That's the width The width is twenty two feet
- 01:34
So edward needs come up with another forty four feet
- 01:37
of fencing But way we're not done yet given the
- 01:40
planks are each two feet long Edward should head to
- 01:43
the hardware store for an additional twenty two planks while
- 01:47
they only come and bundles of five So he needs
- 01:50
by a minimum of five bundles right Because five times
- 01:53
five twenty five then and then we cover our bases
- 01:56
there Yeah that gives him three extra planks in the
- 01:58
mix but well better than leaving holes in his fence
- 02:02
that wasn't so bad It's our cancer's big five Oh
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