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Current time:0:00Total duration:2:46

Comparing areas of plots of land

CCSS.Math: ,

Video transcript

D is looking to buy a plot of land to build her home on she finally narrows her search to two plots that have both have good locations the plot at three one four one five nine Apple Lane has a width of thirty meters and a length of forty meters the plot at one one two three five fibonacci Drive has a width of 50 meters and a length of 20 meters they're each being sold for thirty six thousand dollars which one is a better deal so they're the same price and they're in comparable neighborhoods so really the better deal is the one that I actually have gets gets me more area so I encourage you to pause the video and think about which one of these which one of these am I getting more land for the same amount of money well to think about how much land I'm getting I'm really thinking about how much space is not that plot taking up or I'm really thinking about what is the area of each of these plots and we've already figured out that you can calculate the area of a rectangle by multiplying its length times its width so the area of Apple Lane the area of Apple Lane is 40 meters 40 meters times 30 meters which is equal to 40 times 3 is 120 40 times 30 is 1200 or 1200 and then it's meters times meters or you could view this as square meters square 1,200 square meters now let's think about what the area of the plot at Fibonacci Drive is so it's 20 its length is 20 its width is 50 so here here the area the area is 20 meters times 50 meters which is equal to 20 times 5 is 120 times 50 is 1,000 1,000 square square meters so it's pretty clear when you calculate the area that Apple Lane you're getting more square meters than you would get at Fibonacci driving literally when we say 1200 square metres that means if you were to put if you were to put a 1 by 1 a 1 meter by 1 meter square here so a really small one like that then you could fit 1200 of these on this plot of land while you could only fit a thousand of them on this plot of land of these 1 meter by 1 meter square so we have a larger area same neighborhood or comparable neighborhood for the same price I would go with Apple Lane being the better deal