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- anonymous

The perimeter of a rectangle is 96 ft. The ratio of its length to its width is 7 : 5. What are the dimensions of the rectangle?
A.
30 ft by 18 ft
B.
28 ft by 20 ft
C.
24 ft by 24 ft
D.
22 ft by 26 ft

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- anonymous

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- midhun.madhu1987

Perimeter of Rectangle P = 2 * ( l + b )
Let length, l = 7x and Breadth, b = 5x
P = 2 * ( l + b )
96 = 2 * ( 7x + 5x )
Solve for x.
Then Find length and breadth.

- anonymous

i'm getting C is that right?

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- midhun.madhu1987

Can you let me know how you got that answer?

- anonymous

7x+5x=12x*2=24

- midhun.madhu1987

96 = 2 * ( 7x + 5x )
12x * 2 = 96
24x = 96
What is the value of x?

- anonymous

do you divide?

- anonymous

no you dont ok

- anonymous

i'm still confused on what to do next?

- midhun.madhu1987

24x = 96
Divide both sides by 24.
What you get?

- anonymous

1 and 0.25

- midhun.madhu1987

24x = 96
so, x = 96 / 24 = 4
we got the value of x = 4.
Now find length = 7x = 7 * 4 = 28
Breadth = 5x = 5* 4 = 20

- anonymous

ohhh ok it was B all along

- midhun.madhu1987

yep :)

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