Given coordinates of a rectangle: A(-8,3), B(-3,3), C(-3,6) & D(-8,6)
Distance between the points: d =√((x2 - x1)²+(y2 - y1)²)
AB = √[{-3 - (-8)}² + (3 - 3)²] = 5 units
BC = √[{-3 - (-3)}² + (6 - 3)²] = 3 units
CD = √[{-8 - (-3)}² + (6 - 6)²] = 5 units
AD = √[{-8 - (-8)}² + (6 - 3)²] = 3 units
length = 5 units & breadth = 3 units
Area of reactangle,
a = lenght * breadth
a = 5 * 3 = 15 units
What is the formula of distance between two points?
The distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d² = (x2 - x1)²+(y2 - y1)² to find the distance between any two points.
What is the formula of area?
Given a rectangle with length l and width w, the formula for the area is: A = lw (rectangle). That is, the area of the rectangle is the length multiplied by the width. As a special case, as l = w in the case of a square, the area of a square with side length s is given by the formula: A = s2 (square).
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