The length of the fence of a trapezium-shaped field ABCD is 130 m and side AB is perpendicular to each of the parallel sides AD and BC. If m,
m and
m, find the area of the field.
Given
Length of parallel sides
AD = 42 m
BC = 54 m
Given that total length of fence is 130 m
That is AB + BC +CD +DA = 130
AB + 54 + 19 + 42 = 130
Therefore AB = 15
Height (AB) = 15 m
We know that area of trapezium is × (sum of parallel sides) × height
Therefore Area of trapezium = × (42 + 54) × 15 = 720 m2