SOLUTION: The length of a rectangle is 3 inches longer than its width. The length of this rectangle is an even number. The area of this rectangle is 40ft2. The perimeter of this rectangle

Algebra ->  Rectangles -> SOLUTION: The length of a rectangle is 3 inches longer than its width. The length of this rectangle is an even number. The area of this rectangle is 40ft2. The perimeter of this rectangle      Log On


   

Question 1023827: The length of a rectangle is 3 inches longer than its width. The length of this rectangle is an even number. The area of this rectangle is 40ft2. The perimeter of this rectangle is 26ft.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52798) About Me  (Show Source):
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Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Dimensions of a rectangle can be found when given its perimeter and its area. Will such results match your first sentence description relating width and length?

system%28wL=40%2C2w%2B2L=26%29

system%28wL=40%2Cw%2BL=13%29
L=13-w

w%2813-w%29=40
13w-w%5E2-40=0
-13w%2Bw%5E2%2B40=0

w%5E2-13w%2B40=0
Discriminant is 169-4%2A40=169-160=9=3%5E2

w=%2813%2B-+3%29%2F2
And these are also the dimensions: highlight%28system%28w=5%2COR%2Cw=8%29%29.

YES. The two dimensions differ by 3, and the LENGTH would be the even number value, 8; and width is 5.