How do you find the area of. . .?

Question

A triangle:
Square:
Other shapes:
Or is it all just the same formula??
If so, what is it??

Answer 1

The formula depends upon the shape.

Area of triangle = (1/2) x base x height
A = (1/2) b h

Area of rectangle = length x breadth
A = L B

Area of square = length x breadth
Area of square = l ² (l = b)

Area of circle = π r ² (where r is the radius)

There are obviously other shapes such as paralleogram , rhombus , kite which you may wish to investigate.

However the simple answer to your question is that it is NOT the same formula for all.

Answer 2

For REGULAR polygons there is indeed one formula that will give the area. This formula is primarily used to find areas for regular polygons with 5 or more sides, since there are easier formulas for 3-gons ( all triangles -- this formula only solves equilateral ones) and 4-gons (all quadrilaterals -- this formula only solves squares).

This all-powerful formula is : Area = one-half the Perimeter times the Apothem (the radius of an inscribed circle), or in symbols : A = 1/2(AP).

The formula for any triangle is A = 1/2 Base times Height
The formula for squares and rectangles is A = Base times Height
The formula for trapezoids is A = 1/2 (Base 1 + Base 2) times Height
The formula for the circle is A = pi R^2 where R is half of the distance across the circle (or the Radius)
The formula for a kite, a rhombus or a square is 1/2 the product of its diagonals
Other shapes are usually solved by breaking them up into the above shapes (triangles, rectangles, semi-circles, etc), and solving each shape seperately, then adding their areas.

Answer 3

For each shape its a different formula. Area is a physical quantity expressing the size of a part of a surface.
triangle- 1/2bh
square- s^2
rectangle- l * w
circle- pi * r^2
parallelogram- b * h
trapezoid- h/2 (b1 + b2)
ellipse- pi r1 r2

its just depends on the shape u r tryin 2 find da area 4.

Answer 4

Triangle: A = bh/2
square: A = s^2
rectangle: A = lw or bh
parallelogram: A = bh
trapezoid: A = 0.5h[b(sub)1 + b(sub)2]
rhombus: A = 0.5d(sub)1xd(sub)2
regular polygon: A = 0.5Pa
circle: A = pi*r^2
sector of a circle: A = N/360*pi*r^2

Answer 5

there are different formulas for 2d and 3d shapes. But in 2d shapes, it is a basic method in triangle. Substract base with high and divide by 2. And in square it is same as triangle but don't divide it by 2 because you assume square is a combination of two triangle. if you have any question about 3d just ask.

Answer 6

Triangle (area) = 1/2 b h

Square = s^2

Rectangle=WL

b=base, h=height, s=side, W=width, L=Length.

Areas of other shapes are dependent upon their shapes. Area of circle is pirr or (pi)r^2, where r=radius. Area of parallelogram or rhombus is similar to that of triangle and rectangle.

Answer 7

Triangle: (1/2)*base*height
Square: base*height
Circle: pi*(radius^2)

Other shapes: it really depends, there are lots of formulas you can memorize... but a lot of them can be simplified into combinations of triangles, circles, and squares if you're in a pinch.

Answer 8

Triangle
A = .5 * base * height

Square
A = base * height

Circle
A = Pi * radius squared

Depends on the shape. Its easiest to brake larger shapes into smaller triangles , squares, and rectangles, then add the areas together.

Answer 9

Assuming "b" is the base and "h" is the height, and A is the area

Triangle:
A = (1/2)b*h

Square:
A = b*h

It's a little different for each shape.
For example, in a trapezoid, you would take the average of the 2 bases and multiply it by the height.

Answer 10

triangle: 1/2 * base * height
square: length x width
circle: pi * radius^2