SOLUTION: Find the dimensions of a rectangle whose area is 156 cm2 and whose perimeter is 50 cm.

Question 1145660: Find the dimensions of a rectangle whose area is 156 cm2 and whose perimeter is 50 cm.
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the dimensions of a rectangle whose area is 156 cm2 and whose perimeter is 50 cm.
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L*W = 156
L + W = 25
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Find a pair of factors of 156 that add to 25.
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Hint: They're integers.

Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.

x + y = 50/2 xy = 156 ==============> x + y = 25 xy = 156 ==============> x = 25 - y y*(25-y) = 156 y^2 - 25y + 156 = 0 = = = . There are 2 roots, y= 13 and y= 12. ANSWER. The dimensions of a rectangle are 12 cm and 13 cm.

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