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4 years ago

The length of a rectangle is 1 ft greater than its width. Each diagonal is 985 ft long. Find the dimensions of the rectangle.

Mathematics

1 answer:

Svetradugi [14.3K]4 years ago

4 0

Answer:

Width = 696.

Length = 697.

Step-by-step explanation:

Let the width be x, then the length = x+1 feet.

Using the Pythagoras Theorem:

x^2 + (x + 1)^2 = 985^2

x^2 + x^2 + 2x + 1 = 985^2

2x^2 + 2x - 970224 = 0

Using the quadratic formula:

x = [-2 +/- √(2^2 - 4*2*-970224)] / (2*2)

x = 696, -697(we ignore the negative root).

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