Question

A garden inside a park has the shape of a trapezoid its bases are 10 meters and 16 meters The perpendicular distance between these bases is 12 meters What is the area of the garden

Answer 1

Given :- A garden inside a park has the shape of a trapezoid its bases are 10 meters and 16 meters The perpendicular distance between these bases is 12 meters

To Find :- What is the area of the garden ?

Solution :-

we have,

→ Base lengths = Parallel sides length = 10 m and 16 m

and,

→ The perpendicular distance between these bases = Height of trapezium = 12 m .

so,

→ Area of Trapezium shaped garden = (1/2) * sum of parallel sides * Height

putting values we get,

→ Area of Trapezium shaped garden = (1/2) * (10 + 16) * 12

→ Area of Trapezium shaped garden = (1/2) * 26 * 12

→ Area of Trapezium shaped garden = 26 * 6

→ Area of Trapezium shaped garden = 156 m² (Ans.)

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Answer 2

Given:

A garden inside a park has the shape of a trapezoid its bases are 10 meters and 16 meters The perpendicular distance between these bases is 12 meters What is the area of the garden?

To find:

The area of the garden

Solution:

To solve the above-given problem we will use the formula of the area of a trapezium which is as follows:

$\boxed{\bold{Area \:of\:a\:trapezium = \frac{1}{2}\times [Sum \:of\:parallel\:sides] \times [Perpendicular \:height] }}$

Here we have,

The two parallel sides of the trapezoidal-shaped garden are 10 m and 16 m.

The perpendicular distance between the 2 parallel sides is 12 meters

Now, on substituting the given values in the formula above, we get

The area of the trapezoidal garden is,

= $\frac{1}{2}\times [10 + 16] \times 12$

= $\frac{1}{2}\times 26 \times 12$

= $13 \times 12$

= $\bold{156\:m^2}$

Thus, the area of the garden is → 156 m².

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