Using Pythagoras its base works out as 36 and so 36*15 = 540 square units
Rectangle area = (rectangle width) x (rectangle height)
Let a, b, and c be the width, height, and diagonal of the rectangle.Pythagorus' theorem applies to the rectangle as follows: a^2 + b^2 = c^2substitute for 'a' from Pythagoruss theroem: a = sqrt(c^2 - b^2)Therefore, Area = a * b = b * sqrt(c^2 - b^2)
Rectangle Area of parallelogram = Base * Height Area of rectangle = Base * Height
240 sq m
15 units2
If you draw a diagonal in a rectangle you get two equal triangles, each half the area of the rectangle. Area of rectangle is base x height, so half of that is ½ x base x height. QED
Using Pythagoras its base works out as 36 and so 36*15 = 540 square units
The one alternative to find the area of a rectangle is when you are given the length of one diagonal and its slope.
If the diagonal is 25m and the area is 168m2 then the longest edge of the rectangle will be 24m.
First divide the perimeter by 2 then subtract the diagonal from this. The number left with must equal two numbers that when squared and added together equals the diagonal when squared (Pythagoras' theorem) These numbers will then be the length and height of the rectangle.
You can't. Suppose for instance your rectangle is 1xA, then the diagonal length is sqrt(1+A**2). But if your rectangle is sqrt(A)xsqrt(A) then your diagonal length is sqrt(2*A). The only thing one can say for sure is that the diagonal length is at least sqrt(2*A).
Rectangle area = (rectangle width) x (rectangle height)
Let a, b, and c be the width, height, and diagonal of the rectangle.Pythagorus' theorem applies to the rectangle as follows: a^2 + b^2 = c^2substitute for 'a' from Pythagoruss theroem: a = sqrt(c^2 - b^2)Therefore, Area = a * b = b * sqrt(c^2 - b^2)
if a rectangle has width of 5 and diagonal with lenght of 13, what is the area of the rectangle? Use Pythagoras' theorem to find the length of the rectangle which will be 12 5*12 = 60 square units
The diagonal multiplied by sin(angle) gives one side of the rectangle and the diagonal times cos(theta) gives the other. So the area is (diagonal)2 x cos(theta) x sin(theta).
Draw a diagonal line across the rectangle. The resulting two right triangles will each have identical areas half that of the rectangle. The area of the rectangle is its height x base, and the area of each of the two triangles is 1/2 of its height x base.