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

Question

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

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Aubrey 1 week 2021-09-11T06:40:17+00:00 1 Answer 0

Answers ( )

    0
    2021-09-11T06:42:15+00:00

    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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45:7+7-4:2-5:5*4+35:2 =? ( )