Question

Pencil and paper ready. For 10 points each- what is the area of a rectangle that... Has sides parallel to the x and y axes, with a top right corner at (8, 2) ["eight comma two"] and a bottom left corner at (3, -5) ["three comma negative five"]?

Answer 1

The question is about finding the area of a rectangle given the coordinates of its top right and bottom left corners. By determining the length and breadth from the given coordinates, we can use the formula for the area of a rectangle (length multiplied by breadth) to find the area. In this case, the area is 35 square units.

Step-by-step explanation:

The question is asking for the area of a rectangle whose top right and bottom left corners are given by the coordinates (8, 2) and (3, -5) respectively. The area of a rectangle is given by the formula length multiplied by breadth. In this case, observe that the length of the rectangle can be determined using the x-coordinates, and the breadth (or height) of the rectangle can be determined using the y-coordinates.

The length of the rectangle is: |8 - 3| = 5.

The breadth of the rectangle is: |2 - (-5)| = 7.

Now we substitute these values into our area formula. So the area of the rectangle is: 5 * 7 = 35 square units.

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