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]2 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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