The height is 45 width.
What is rectange?
- A quadrilateral with four right angles is a rectangle.
- It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal (360°/4 = 90°).
- A square is a rectangle with four equal sides.
solving-
- Let the height be "x".
- Then width = "x+17".
- Pythagoras:
- x^2 + (x+17)^2 = 53^2
- x^2 + x^2 + 34x + 289 = 2809
- 2x^2 + 34x - 2520 = 0
- x^2 + 17x - 1260 = 0
- x = [-17 +- sqrt(17^2-4*-1260)]/2
- x = [-17 +- sqrt(5329)]/2
- Positive solution:
- x = [-17+73]/2
- x = 28 (height)
- x+17 = 45 (width)
Hence, The height is 45 width.
Know more about rectangle click here:
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