The parallel sides of a trapezium are 25 cm and 13 cm.its non parallel sides are 15 cm and 10 cm. Find the area of the trapezium.
To find the area of a trapezium, you can use the formula:
Area = (1/2) * (sum of parallel sides) * (distance between the parallel sides)
In this case, the parallel sides of the trapezium are 25 cm and 13 cm. The distance between the parallel sides can be calculated by subtracting the length of the shorter non-parallel side (10 cm) from the length of the longer non-parallel side (15 cm).
Distance between the parallel sides = 15 cm - 10 cm = 5 cm
Now we can substitute these values into the formula:
Area = (1/2) * (25 cm + 13 cm) * (5 cm)
Simplifying further:
Area = (1/2) * 38 cm * 5 cm
Area = 19 cm * 5 cm
Area = 95 cm²
Therefore, the area of the trapezium is 95 square centimeters.
25-13 = 12 which is the sum of the two bases at the ends
h is the height
area of rectangle in the middle = 13 h
x is base of one triangle (below the 10) so 12-x is the other(below the 15
(12-x)^2 + h^2 = 225
x^2+h^2 = 100
---------------------subtract
144-24x = 125
x = 19/24
etc
get x and h then area of the two end triangles, add to your 13 h