If a lot measuring 60’ by 100’ is all grass except for....

[Nikki111]

If a lot measuring 60’ by 100’ is all grass except for....

If a lot measuring 60’ by 100’ is all grass except the area covered by the 24’ by 40’ house, the lot is what percent grass?

I dont know where to even start on this one?

 

[galactus]

Don't know where to start?. Surely you can find the area.

Start by finding the area of each.

 

[Nikki111]

60x100=6000
20x40=800

 

[jwpaine]

60x100=6000
20x40=800

So the area of the grass, in fractional form.. can be solved using proportions: (6000/800) = (100/x) cross multiply: 6000x = 80000 divide both sides by 6000 to get x by it's self.

x = 80000/6000

Once you get your %, you can prove it by then multiplying the decimal equivalent of the fraction (percentage divided by 100) by 6000. You should get 800. So 800 is x percent of 6000.

This is elementary algebra...I'm not sure if you are doing proportions yet... but this is how I would solve it for my teacher.

 

[Nikki111]

6000/800=7.5

Im doing something wrong or misunderstanding :?

7.5/100=.075
.075x6000=450 so it doesnt= 800

 

[jwpaine]

6000/800=7.5

Im doing something wrong or misunderstanding :?

7.5/100=.075
.075x6000=450 so it doesnt= 800

Sorry... I did the algebra on paper.. and was quick to post... re-read.

Sorry I wasn't clearer.

 

[Nikki111]

Yay thanks you are awesome!

 

[galactus]

The house takes up 24*40=960 ft^2. Be careful. 960/6000 would be the percentage the house takes up, not the grass. Percentage of grass = \(\displaystyle \L\\1-\frac{960}{6000}\)

 

[jwpaine]

The house takes up 24*40=960 ft^2. Be careful. 960/6000 would be the percentage the house takes up, not the grass. Percentage of grass = \(\displaystyle \L\\1-\frac{960}{6000}\)

OMG.. I feel so stupid... I did proportions lol

 

[Nikki111]

Its ok lol i wrote 800 insted of 960 luckily i caught it when i was writing it on paper..