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In the XYplane, what is the area of the triangle formed by the line 3
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11 Jul 2017, 01:34
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Re: In the XYplane, what is the area of the triangle formed by the line 3
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11 Jul 2017, 01:44
Bunuel wrote: In the XYplane, what is the area of the triangle formed by the line 3y − 4x = 24 and the X and Y axes?
(A) 6 (B) 14 (C) 24 (D) 36 (E) 48 Line \(3y4x=24\) intersects \(Ox\) at \(A(6, 0)\) Line \(3y4x=24\) intersects \(Oy\) at \(B(0, 8)\) Hence, the area of the triangle OAB is \(\frac{6*8}{2}=24\) The answer is C
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Re: In the XYplane, what is the area of the triangle formed by the line 3
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14 Jul 2017, 08:08
3y=4x+24 (x,y) can have values  (6,0),(3,4),(0,8)
when this is traced on graph > The triangle is formed with Base  6 and Height  8 1/2*6*8= 24
Answer is C



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Re: In the XYplane, what is the area of the triangle formed by the line 3
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14 Jul 2017, 08:11
On solving 3y4x =24 at y=0 and x=0 u get 8 and 6 . Area will be 1/2 of 48 24 C Sent from my iPhone using GMAT Club Forum
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Re: In the XYplane, what is the area of the triangle formed by the line 3
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14 Jul 2017, 10:41
3y 4x =24 implies the line passes through (6,0) and (0,8) hence area of triangle formed by this line and the two axes is area of a triangle with 6 as base and 8 as height
or 1/2*8*6 = 24 Option C
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Re: In the XYplane, what is the area of the triangle formed by the line 3
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14 Jul 2017, 13:34
mynamegoeson wrote: On solving 3y4x =24 at y=0 and x=0 u get 8 and 6 . Area will be 1/2 of 48 24 C
Sent from my iPhone using GMAT Club Forum Hey buddy can you please explain why you used y=0 and x=0? I mean the calculations are clear, but not the logic that's standing behind



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Re: In the XYplane, what is the area of the triangle formed by the line 3
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14 Jul 2017, 18:16
You use the xintercept and y intercept as reference points. In simpler questions like this it's all you need to see what the triangle looks like, but in other questions you may have to use both the intercept and actually draw the line to another point.



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Re: In the XYplane, what is the area of the triangle formed by the line 3
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14 Jul 2017, 19:10
cbh wrote: mynamegoeson wrote: On solving 3y4x =24 at y=0 and x=0 u get 8 and 6 . Area will be 1/2 of 48 24 C
Sent from my iPhone using GMAT Club Forum Hey buddy can you please explain why you used y=0 and x=0? I mean the calculations are clear, but not the logic that's standing behind Y intercept means the line cuts y axis where x=0 X intercept means the line cuts x axis where y=0 Sent from my iPhone using GMAT Club Forum mobile app
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Re: In the XYplane, what is the area of the triangle formed by the line 3
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22 Jul 2018, 01:47
sonikavadhera wrote: 3y 4x =24 implies the line passes through (6,0) and (0,8) hence area of triangle formed by this line and the two axes is area of a triangle with 6 as base and 8 as height
or 1/2*8*6 = 24 Option C
+1 kudos if you like the post. niks18 pushpitkc hi there below is my solution but i dont get why i am getting negative value set x = 0 3y =24 y = 8 set y = 0 4x=24 x = \(\frac{24}{4}\) = \(6\) Why everyone is getting positive 6 and i am getting negative 6 ? Area 6*8 *0.5 = 24 have a great weekend



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Re: In the XYplane, what is the area of the triangle formed by the line 3
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22 Jul 2018, 01:56
dave13 wrote: sonikavadhera wrote: 3y 4x =24 implies the line passes through (6,0) and (0,8) hence area of triangle formed by this line and the two axes is area of a triangle with 6 as base and 8 as height
or 1/2*8*6 = 24 Option C
+1 kudos if you like the post. niks18 pushpitkc hi there below is my solution but i dont get why i am getting negative value set x = 0 3y =24 y = 8 set y = 0 4x=24 x = \(\frac{24}{4}\) = \(6\) Why everyone is getting positive 6 and i am getting negative 6 ? Area 6*8 *0.5 = 24 have a great weekend Hi dave13When you plot the following points, you will find out that the sides of the triangle are 8 and 6 respectively. Another thing to add is that the side or the area can never be a negative number. So, the area of this triangle is \(\frac{1}{2}*8*6 = 24\) Hope this helps you!
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Re: In the XYplane, what is the area of the triangle formed by the line 3 &nbs
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22 Jul 2018, 01:56






