SOLUTION: the area of the floor of a rectangular room is 60 square meters. if the perimeter of the floor is 34 meters, what are the dimensions of the floor ( solve algebraically)

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Question 1058122: the area of the floor of a rectangular room is 60 square meters. if the perimeter of the floor is 34 meters, what are the dimensions of the floor ( solve algebraically)
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website!
Study this lesson for this very type of exercise. https://www.algebra.com/my/FIND-RECTANGLE-DIMENSIONS-USING-GIVEN-PERIMETER-AND-AREA.lesson?content_action=show_dev

Answer by ikleyn(52778)   (Show Source):
You can put this solution on YOUR website!
.
the area of the floor of a rectangular room is 60 square meters. if the perimeter of the floor is 34 meters,
what are the dimensions of the floor ( solve algebraically)
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Let L be the length (in meters), and W be the width. Then 2L + 2W = 34, hence L + W = 17. Then W = 17-L. The area is A = L*W = L*(17-L) = . Thus you have an equation = 60, or = 0. Factor the left side: (L-5)*(L-12) = 0. The roots are 5 and 12. The length is 12 meters, The width is 5 meters.

Solved.

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    - Problems on the area and the dimensions of a rectangle
in this site.