SOLUTION: The outside of a picture frame measures 14 in by 20 in. 184 in squared of the picture shows. Find the thickness of the frame.
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-> SOLUTION: The outside of a picture frame measures 14 in by 20 in. 184 in squared of the picture shows. Find the thickness of the frame.
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Question 1060374: The outside of a picture frame measures 14 in by 20 in. 184 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)=184
280-68w+4w²=184
4w²-68w+96=0
w²-17w+24=0
Using the quadratic formula, we get two roots of 15.4462219947 and 1.55377800528. The most sensical answer is the smaller root, giving us a frame of width 1.55377800528 inches. ☺☺☺☺
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