SOLUTION: The floor of a one-story building is 14 feet longer than it is wide (see figure). The building has 1472 square feet of floor space. quadratic equation w^2 + 14w - 1472 = 0

Algebra ->  Equations -> SOLUTION: The floor of a one-story building is 14 feet longer than it is wide (see figure). The building has 1472 square feet of floor space. quadratic equation w^2 + 14w - 1472 = 0       Log On


   



Question 1092256: The floor of a one-story building is 14 feet longer than it is wide (see figure). The building has 1472 square feet of floor space.
quadratic equation
w^2 + 14w - 1472 = 0
Width=
Length=

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square
+w%5E2+%2B+14w+-+1472+=+0+
+w%5E2+%2B+14w+%2B+%2814%2F2%29%5E2+=+1472+%2B+%2814%2F2%29%5E2+
+w%5E2+%2B+14w+%2B+49+=+1472+%2B+49+
+w%5E2+%2B+14w+%2B+49+=+1521+
+%28+w+%2B+7+%29%5E2+=+39%5E2+
+w+%2B+7+=+39+
+w+=+32+
and
+w+%2B+14+=+32+%2B+14+
+w+%2B+14+=+46+
Thw width is 32 ft
The length is 46 ft
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check:
+32%2A46+=+1472+
OK