SOLUTION: A baby's crib has an area of 1,131 square inches and a perimeter of 136 inches. What are the dimensions of the crib?
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Question 892432: A baby's crib has an area of 1,131 square inches and a perimeter of 136 inches. What are the dimensions of the crib?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
A=1131
p=136
Let dimensions be x and y.
LIST WHAT YOU KNOW INCLUDING INFORMATION FROM THE DESCRIPTION
p=2x+2y;
A=xy.
Solve for x and y. A quadratic equation will occur. Do everything in variables until x and y are solved, AS FORMULAS, ALL IN VARIABLES.
Substitute the values for A and p and evaluate x and y.
-----The less general way-------
2x+2y=136 and xy=1131.
Perimeter simplifies to from which .
-
or
Checking for corresponding y values, you'll find in respective order, 39 and 29.
ANSWER: Dimensions are 29 and 39.
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