The area of a rectangle is 4,320 ft2. The ratio of the length to the width is 6:5. Find the length of the rectangle. A. 12 ft B. 60 ft C. 72 ft D. 132 ft
Okay, we need the formula for calculating the Area of a triangle. Any idea?
i dont got it
Well, you need to make an effort, look for it.
let me give you another question forget about this one
deal with this one first Robert
Are you on a test?
nop
If AB:BC is 3:11, solve for x. A. 6 B. 9 C. 22 D. 28
oh
i dont know how to put it together
Sorry, that's wrong. It's this\[Area \Delta = \frac{ 1 }{ 2 } bh\]
1/2 4,320*6:5 like that
I'm wrong again. Question says rectangle. Lol
ok
So it's Area of Rect. = Length x width
so its 4,320=6.5*6.5
Now what we're given the ration of the length to width to be 6:5. That means \[\frac{ l }{ b } = \frac{ 6 }{ 5 }\]We get value of l by multiplying both sides by b \[l = \frac{ 6}{ 5 }b\]
or going right along the path we chose, calling breadth, width \[l = \frac{ 6}{ 5 }w\]
So that value will be subst in original eqn \[Area = l \times b\] Area = 4320ft^2, we know what l is in terms of b Substituting...\[4320 = \frac{ 6}{ 5 }w \times w\] \[21600 = 6w^2\]Div both sides by 6\[3600 = w^2\]Take square roots of both sides of eqn\[w = 60ft\] So, now we've got the width. Going back to the ealier eqn we derived \[l = \frac{ 6}{ 5 }w\]Substituting w to get l\[l = \frac{ 6}{ 5 } \times 60 = 72ft\]
Let me know if you need any clarifications.
thanks
yw :)
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