Question

Work out shaded area

Answer 1

A = (1/2)(12)(9 + 14) = 6(23) = 138 m^2

Answer 2

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:

`\boxed{\mathrm{A = (1)/(2) * (a + b) * h}}` ,

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 =
`(1)/(2)` × (a + b) × h

⇒ A =
`(1)/(2)` × (14 + 9) × 12

⇒ A =
`(1)/(2)` × 23 × 12

⇒ A = 138 m²

Therefore, the area of the given trapezium is 138 m².