A trapezoid has 2 inner triangles and so work out the area of each triangle then add them together.
Alternatively use the formula for area of a trapezoid which is:-
0.5*(sum of parallel sides)*height
To work out the area of a composite shape, you will have to divide it into smaller figures.
The trapezoid is a plane figure which has surface Area, but no volume but if there was a 3d figure your equation would be. The Surface Area of a trapezoid = ½(b1+b2) x h X Height of figure.
You have to cut the trapezoid into three shapes. The three shapes will be two triangles and one rectangle or square. You have to find the area of these three shapes and then add all of the three areas up to find the area of the trapezoid.
Suppose the base and parallel sides of the trapezium are labelled a and b. Suppose, also, that the distance between a and b is h. Draw a diagonal. This will split the trapezium into one triangle whose base is the trapezium's base (a) and another upside-down triangle whose base is the trapezium's top (b). The heights of both these triangles will be the same as the distance between the parallel sides of the trapezium (h). The area of the first triangle is 0.5*a*h The area of the second triangle is 0.5*b*h So the area of the trapezium = 0.5*a*h + 0.5*b*h = 0.5*(a+b)*h
You should be able to draw an imaginary line between two corners that divides the room into a trapezoid and a triangle. The area of a trapezoid is (a + b)/2 times h where a and b are bases and h is the height. The area of a triangle is one half the base times the height. You can also divide the trapezoid into two triangles and do the triangle thing three times.
A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure (or shape).For example, figure ABCD is a composite figure as it consists of two basic figures. That is, a figure is formed by a rectangle and triangle as shown below.The area of a composite figure is calculated by dividing the composite figure into basic figures and then using the relevant area formula for each basic figure.Example 20Find the area of the following composite figure:Solution:The figure can be divided into a rectangle and triangle as shown below.So, the area of the composite figure is 216 cm2.
area triangle = 1/2 base times height area trapezoid = 1/2 (sum of bases) times height
The formula for the area of a trapezoid is A = 1/2 (b1 + b2)/h where b1 is the upper base of the trapezoid , b2 is the lower base of the trapezoid and h is the height of the trapezoid. Since a triangle has only one base , replace either b1 or b2 with zero. Thus the area of a triangle is A = 1/2bh
To work out the area of a composite shape, you will have to divide it into smaller figures.
Triangle: Half the product of the longest side and the perpendicular distance from it to the apex. Trapezoid: Half the product of the sum of its bases and the height.
square and triangle
There is no information on the shape of the area in question.
The trapezoid is a plane figure which has surface Area, but no volume but if there was a 3d figure your equation would be. The Surface Area of a trapezoid = ½(b1+b2) x h X Height of figure.
It is the sum of the areas of all the components.
You have to cut the trapezoid into three shapes. The three shapes will be two triangles and one rectangle or square. You have to find the area of these three shapes and then add all of the three areas up to find the area of the trapezoid.
Suppose the base and parallel sides of the trapezium are labelled a and b. Suppose, also, that the distance between a and b is h. Draw a diagonal. This will split the trapezium into one triangle whose base is the trapezium's base (a) and another upside-down triangle whose base is the trapezium's top (b). The heights of both these triangles will be the same as the distance between the parallel sides of the trapezium (h). The area of the first triangle is 0.5*a*h The area of the second triangle is 0.5*b*h So the area of the trapezium = 0.5*a*h + 0.5*b*h = 0.5*(a+b)*h
That sounds like either a Triangle (three sided area) or a Trapezoid (four sided area).