Answer:
Area = 138 m²
Explanation:
In the question, we are given a trapezium and told to find its area.
To do so, we must use the formula:
,
where:
A ⇒ area of the trapezium
a, b ⇒ lengths of the parallel sides
h ⇒ perpendicular distance between the two parallel sides
In the given diagram, we can see that the two parallel sides have lengths of 9 m and 14 m. We can also see that the perpendicular distance between them is 12 m.
Therefore, using the formula above, we get:
A =
× (a + b) × h
⇒ A =
× (14 + 9) × 12
⇒ A =
× 23 × 12
⇒ A = 138 m²
Therefore, the area of the given trapezium is 138 m².