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The length of a rectangle is 7 inches more than 5 times its width. The area of the rectangle is 16 square inches. What is the width?

 Jul 27, 2022
 #1
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W =  W

L = 5W + 7

 

LW  =  area

 

W ( 5W + 7)  =  16

 

5W^2 + 7W   = 16

 

5W^2 + 7W - 16  = 0

 

                -7   +  sqrt  [ 7^2  - 4*5* -16 ]              -7  +  sqrt [ 369]               

W =     ___________________________ =   ________________ ≈ 1.22 in 

                           2(5)                                                 10

 

cool cool cool

 Jul 27, 2022

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