SOLUTION: The outside of a picture frame measures 14 in by 20 in. 148 in squared of the picture shows. Find the thickness of the frame.
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Question 1057404: The outside of a picture frame measures 14 in by 20 in. 148 in squared of the picture shows. Find the thickness of the frame.
Answer by jorel555(1290) (Show Source): You can put this solution on YOUR website!
Let t be the thickness of the frame. Then:
(20-2w)(14-2w)=148
280-68w+4w²-148=0
4w²-68w+132=0
Using the quadratic formula, , we get two roots: 14.7649820431 and 2.23501795693. The most sensible choice is that the frame is 2.23501795693 in. thick. ☺☺☺☺
If 232 sq. in. are showing, then:
(20-2w)(14-2w)=232
280-68w+4w²-232=0
4w²-68w+48=0
w²-17w+12=0
Using the quadratic formula, i.e. , we get two roots: 16.2620873481 and 0.73791265187. The only logical choice is a frame that is 0.73791265187 in. in thickness. ☺☺☺☺
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