Question

the area of a trapezium is 24 metre square if its height is 6 then find the sum of parallel sides
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Answer 1

Answer:

8cm

Step-by-step explanation:

Given,

area of trapezium= 24 cm sq.

Height= 6 cm

we have to find the sum of parallel sides

so, we know the for for area of trapezium= 1/2(sum of parallel sides) ×height

now put the given values in the formula

1/2(sum of parallel sides)× 6 = 24cm sq.

sum of parallel sides= (24 × 2)÷6= 8cm

hence, the sum of parallel sides will be 8 cm

Answer 2

Answer:

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

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

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

➪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.