In the case of a 2 X 2 rectangle, or a 3 X 5 rectangle, we can simply count. However, can we make a decision about a 100 X 167 or a 3600 X 288 rectangle? In general, given an N X K rectangle, how many grid squares are crossed by its diagonal?

Solution Summary

This shows how to find the number of diagonals in a n x k rectangle.

For your assignment this week, imagine that you will be building a shed in your back yard. The shed requires a cement foundation that is rectangular in shape. You would like to mark the location of the cement foundation to ensure that it is the correct size and shape. You do not have any special equipment that will help ensure t

The length of a rectangle is 3 cm more than 5 times its width. If the area of the rectangle is 76 cm2, find the dimensions of the rectangle to the nearest thousandth.

Express the area of the rectangle (i tried to make one below) as a quadratic function of x, and also, for what value of x will the area be a maximum?
This is supposed to be a rectangle:
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(Rectangle Class) Create a class Rectangle. The class has attributes length and width, each of which defaults to 1. It has methods that calculate the perimeter and the area of the rectangle. It has set and get methods for both length and width. The set methods should verify that length and width are each floating-point numbers l

The length of a rectangle is 4 centimeters more than its width. If the width is increased by 2 centimeters and the length is increased by 3 centimeters, a new rectangle is formed having an area of 44 square centimeters more than the area of the original , rectangle. Find:
1. The dimensions of. The, new rectangle
2. The perim

Points A, B,C and D are on a square. The area of teh squre is 36square units. Which is true about the perimeter of rectangle ABCD?
1) greater than 24 units
2) less than 24 units
3) equal to 24 units
4) cannot be determined

1- prove that the diagonals of a rhombus bisect each other at right angels.
2- prove that diagonals of a kite or dart (possibly extended) intersect at right angels.
(Note: kite is a convex quadrilateral in which 2 pairs of adjacent sides are congruent dart is a non convex quadrilateral in which 2 pairs of adjacent sides are

Create a Rectangle class with
- Private attributes for width and height
- A default constructor that sets the height to 10 and width to 25.
- An overloaded constructor that takes integer width and height arguments, uses a separate method to check whether the width and height fall within the range between 0 and 30, and throws

A field is to be marked off in the shape of a rectangle, with one side formed by a straight river. If 100 feet is available for fencing, find the dimensions of the rectangle of maximum possible area.