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ioda
2 years ago
14

The length of a rectangle is three times its width. The perimeter of the rectangle is 100 inches. What are the dimensions of the

rectangle?
Mathematics
2 answers:
ser-zykov [4K]2 years ago
7 0

Answer:

We have l = 2w and 2l + 2w = 100 inches;

Then 4w + 2w = 100 inches;

6w = 100 inches;

w = 16.6;

l = 3 x 16.6;

l = 49.8 inches;


Step-by-step explanation:


m_a_m_a [10]2 years ago
3 0

Answer:

<h2>The dimensions are 12.5 inches width and 37.5 inches length.</h2>

Step-by-step explanation:

Givens:

  • Length is three times the width, this can be represented as: l=3w
  • The perimeter is 100 inches. The perimeter is expressed as: P=2(l+w)

So, to find the dimensions of the rectangle, that is, the length and width, we have to replace the first equation into the second one:

100=2(3w+w)\\\frac{100}{2}=4w\\w=\frac{100}{8}= 12.5 \ in

The length can be found using the first expression:

l=3(12.5)=37.5

Therefore, the dimensions are 12.5 inches width and 37.5 inches length.

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