Solve each of the following word problems. Show your Solution. a. The product of two numbers is 12, and the sum of their squares is 40. What are the numbers? b. You have 36 yards of fencing to build the enclosure of the figure. Some of this fencing is to be used to build an internal divider. If you'd like to enclose 54 square yards, what are the dimensions of the enclosure? c. The area of a rectangular rug is 108 square feet and the length of its diagonal is 15 feet. Find the length and width of the rug.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
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Solve each of the following word problems. Show your Solution.

a. The product of two numbers is 12, and the sum of their squares is 40. What are the numbers?

b. You have 36 yards of fencing to build the enclosure of the figure. Some of this fencing is to be used to build an internal divider. If you'd like to enclose 54 square yards, what are the dimensions of the enclosure?

c. The area of a rectangular rug is 108 square feet and the length of its diagonal is 15 feet. Find the length and width of the rug.

Answers: (I just need the Solution)

a. 2 and 6

b. 9 yards by 6 yards

c. 9ft by 12ft

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