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mixer [17]
3 years ago
6

The perimeter of a rectangle is 72 meters. the length of the room is twice its width. what are the dimensions of the rectangle?

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0
Let the width be r
Then length=2r
2(r+2r)=72
6r=72
r=12 cm
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Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

Or, 7x = 2 y

Or, x = 2 y / 7 ( Eq. 1)

Also, 10 x + y + 45 = 10 y + x ( given)

Or, 10 x - x = 10 y - y - 45

Or, 9 x = 9 y - 45 ( Eq. 2)

Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

9 * 2 y / 7 = 9 y - 45

Or, (9 y ) - (18 y / 7) = 45

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Answer

Check:

Sum of the digits = 2 + 7 = 9

9 * 3 = 27 ✓

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