The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times the perimeter. Find the length and width if the rectangle.

Question

Mathematics

Makai Boone

21 January, 06:38

The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times the perimeter. Find the length and width if the rectangle.

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Answers (1)

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Cherish · Answer 1

Length: sqrt13 + 4

Width: sqrt13

Step-by-step explanation:

Denote the width as x, then the length is x+4. The area of the rectangle will be x (x+4), and the perimeter will then be 4x + 8. Hence, you can write the equation x (x+4) - 5 = 4x+8. Solving, you get x = sqrt13.