Question

If you could please help me with this it makes no sence to me.

Answer 1

7986 m²

Explanation:

The field geometric shape is a trapezoid whose bases are 102 m and 140 m and height of 66m

The equation for the area of a trapezoid is given by

`A = (a + b)/(2) h\\\\`

where a and b are the two sides and h is the height

Here a = 102, b = 140 and h = 66

Substitute these values directly into the equation for area

`A = (102 + 140)/(2) * 66\\\\A = (102 + 140) * (66)/(2)\\\\\\102 + 140 = 242\\\\(66)/(2) = 33\\\\\\A = 242\ * 33 = 7986\; m^2`

Answer 2

A = 7986 m²

Explanation:

the field is in the form of a trapezium.

the area (A) of a trapezium is calculated as

A =
`(1)/(2)` h (b₁ + b₂ )

where h is the perpendicular distance between the bases b₁ and b₂

here h = 66 , b₁ = 102, b₂ = 140 , then

A =
`(1)/(2)` × 66 × (102 + 140) = 33 × 242 = 7986 m²