If the length of the fence of a trapezium shaped field ABCD is 130m and side is perpendicular to each of the parallel side AD and BC.if BC=54m ,CD=19m and AD=42m, find the area of the field.
Math
To find the area of the trapezium field, we can use the formula:
Area = (1/2) * (sum of the parallel sides) * (distance between parallel sides)
In this case, the sum of the parallel sides is BC + AD = 54m + 42m = 96m.
The distance between the parallel sides is the perpendicular distance, which is given as CD = 19m.
Now, we can substitute these values into the formula:
Area = (1/2) * (96m) * (19m)
= (1/2) * (96) * (19)
= (1/2) * (1824)
= 912m²
Therefore, the area of the trapezium-shaped field is 912 square meters.
If I understand you to mean that AB┴AD and BC, then
BC-AD=12 and h=AB=√(19^2-12^2)=√217
so, the area is (42+54)/2 √217