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ACT Aspire Math Videos 91 videos

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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

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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