Question

the area of a trapezoid is 50 sqauare and the sum of the parallel side is 20 then find its hight .​

Answer 1

Hope this helps..........

Answer 2

Correct Question:

The area of a trapezoid is 50cm² and the sum of the parallel sides is 20cm. Find it's height.

Required Solution:

Given:

• Area of a trapezoid = 50cm²

• Sum of its parallel side = 20cm

To calculate:

• height

Calculation:

We know that,

${\underline {\boxed {\small {\tt { {Area}_{Trapezium} = \dfrac{1}{2} \times (sum \: of \: parallel \: sides) \times h} }}}}$

According to the question:

$\sf { ⇢ 50{cm}^{2} = \dfrac{1}{2} \times 20 \times h}$

$\sf { ⇢ 50{cm}^{2} = \dfrac{1}{\cancel{2}} \times \cancel{20} \times h}$

$\sf { ⇢ 50{cm}^{2} = 10 \times h}$

$\sf { ⇢ 50{cm}^{2} = 10h}$

$\sf { ⇢ h = \dfrac{50}{10} }$

$\boxed { \sf \pink { ⇢ h = 5cm } }$

Therefore,height of the trapezoid is 5cm.

Verification:

Substitute the value of height in the area(equation).

$\sf { ⇢ 50 = \dfrac{1}{2} \times 20 \times 5}$

$\sf { ⇢ 50= 10 \times 5}$

$\sf \pink { ⇢ 50= 50}$

$\rm \blue { So, done! }$

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