Question

the area of a trapezium is 24 metre square if its height is 6 then find the sum of parallel sides​

Answer 1

Working out:

In the question, area of trapezium is given. Along with this, the height of the trapezium is also given but we have to find the sum of parallel sides.

This is given to find sum of parallel sides because of the formula for area of trapezium:

$\boxed{ \sf{Area \: of \: trapezoid = \frac{1}{2} \times (Sum \: of \: \parallel \: sides) \times height}}$

So, we are provided with two elements used in the formula:

• Area of trapezium = 24 m²
• Height of trapezium = 6 m

We have to find the sum of parallel sides.

So, plug in the values in the formula,

$\sf{ \longrightarrow{24 \: {m}^{2} = \dfrac{1}{2} \times (Sum \: of \parallel sides )\times 6 \: m}}$

$\sf{ \longrightarrow{24 {m}^{2} = 3 \: m(Sum \: of \parallel sides)}}$

Flipping it to find the sum of || sides,

$\sf{ \longrightarrow{Sum \: of \parallel sides = \dfrac{24 \: {m}^{2} }{3 \: m} }}$

$\sf{ \longrightarrow{Sum \: of \parallel sides = 8 \: m}}$

So, the Answer of the question:

$\huge{ \boxed{ \sf{ \purple{8 \: m}}}}$

And we are done !!

Answer 2

Answer:

$\huge{\mathcal{\underline{\green{QuEsTiOn}}}}$

the area of a trapezium is 24 m² if its height is 6m then find the sum of parallel sides

$\huge{\mathcal{\underline{\red{AnSWeR}}}}$

➪Area of trapezium =24m²

➪height of trapezium =6m(BE)

➪To find sum of parallel sides

✍︎✍︎we know that :

$Area \: of \: trapezium = \frac{1}{2} \times height \times sum \: of \: parallel \: sides$

➪Area of trapezium=1/2×BE×AB+CD

➪Area of trapezium=1/2×6m×sum of ll sides

➪24m²=1/2×6m

➪48m²/6m=sum of ll sides

✵✵Sum of parallel sides=8m✵✵

✍︎✍︎Properties of Trapezium ✍︎✍︎

• A trapezium or a trapezoid is a quadrilateral with a pair of parallel sides.

• A parallelogram may also be called a trapezoid as it has two parallel sides

• The pair of parallel sides is called the base while the non-parallel sides are called the legs of the trapezoid.

• The line segment that connects the midpoints of the legs of a trapezoid is called the mid-segment

✈︎✈︎ MORE:

• Angle: The sum of angles in a trapezoid-like other quadrilateral is 360°. So in a trapezoid ABCD, ∠A+∠B+∠C+∠D = 360°.
• Two angles on the same side are supplementary, that is the sum of the angles of two adjacent sides is equal to 180°.
• Its diagonals bisect with each other.
• The length of the mid-segment is equal to 1/2 the sum of the bases. In the above figure mid-segment= 1/2 (AB+CD)
• In special cases of the isosceles trapezium, legs of the trapezium are congruent to each other.
• This means that despite being non-parallel, the measurement of both the legs is equal.