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xenn [34]
3 years ago
11

A picture frame (see figure) has a total perimeter of 3 feet. The width of the frame is 0.64 times its length. Find the dimensio

ns of the frame. (Round your answers to two decimal places.)
Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0

Answer:

\approx 0.59\text{ ft by }0.91\text{ ft}

Step-by-step explanation:

Let \ell represent the length of the rectangle. The width can be represented as 0.64\ell.

The perimeter of a rectangle with lengths l and w is given by p=2l+2w.

Thus, we have:

2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91

The width is then 0.64(0.91463414634)=0.58536585365\approx 0.59.

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