SOLUTION: The width of a rectangle is three fourths of the length. The perimeter of the rectangular pen becomes 50 cm when the length and the width are each increased by 2 cm. Find the lengt

Algebra ->  Rectangles -> SOLUTION: The width of a rectangle is three fourths of the length. The perimeter of the rectangular pen becomes 50 cm when the length and the width are each increased by 2 cm. Find the lengt      Log On


   

Question 1066543: The width of a rectangle is three fourths of the length. The perimeter of the rectangular pen becomes 50 cm when the length and the width are each increased by 2 cm. Find the length and the width
Answer by josmiceli(19441) About Me  (Show Source):
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(1) +W+=+%283%2F4%29%2AL+
(2) +2%2A%28+W+%2B+2+%29+%2B+2%2A%28+L+%2B+2+%29+=+50+
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(2) +2W+%2B+4+%2B+2L+%2B+4+=+50+
(2) +2W+%2B+2L+=+42+
(2) +W+%2B+L+=+21+
Substitute (1) into (2)
(2) +%283%2F4%29%2AL+%2B+L+=+21+
(2) +3L+%2B+4L+=+84+
(2) +7L+=+84+
(2) +L+=+12+
and
(1) +W+=+%283%2F4%29%2A12+
(1) +W+=+9+
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The length is 12 cm
The width is 9 cm