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skelet666 [1.2K]
3 years ago
14

The length of a rectangle is 17 inches more than twice its width, and its area is 69 square inches. What is the width?

Mathematics
1 answer:
Fantom [35]3 years ago
6 0

Answer:

Width = 34.5 inch OR 26 inch

Step-by-step explanation:

Let the length of the rectangle be 'L' and

Width of the rectangle be 'W'

Length = 2*Width+17

L=2*W+17

Area = 69 square inches

Area of the rectangle=

                                Length * Width\\\\                69 = (2W+17)*W \\\\                2W^2+17W=69

   Dividing by '2' both the sides:

                               W^2+8.5W=34.5\\\\W(W+8.5)=34.5\\\\W=34.5inch\\OR\\W+8.5=34.5\\W=34.5-8.5\\W=26 inch

                 

W=34.5 inch   OR         W=26 inch

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