Question

area of a trapezium is 0.54m^2 and it's altitude is 27 cm determine the sum of lengths of its parallel sides​

Answer 1

Answer:

4cm.

Explanation :

In a trapezium,

Area is 0.54m²

It's ltitude = 27cm or, 0.27m [ ∵ 1m = 100cm]

We know that,

Area of a trapezium : ½ • (a + b) • h

Where,

• (a + b) is the sum of the parallel sides.
• ‘h’ denotes the altitude.

According to the question :

→ 0.54 = ½ • (a + b) • 0.27

→ 0.54/0.27 = ½ • (a + b)

→ 54/27 = ½ • (a + b)

→ 2*2 = (a + b)

→ 4 = (a + b)

Hence, sum of the parallel sides is 4cm.

Answer 2

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★GIVEN:-

• Area of Trapezium = 0.54m^2

• Height = 27cm

★TO FIND :-

• sum of lengths of its parallel sides

★FORMULA USED:-

• $\sf{Area = \frac{1}{2} × Height × ( Length + Breadth)}$

★SOLUTION:-

Convert Height from cm to m

$: \implies \sf{ 27cm = \frac{27}{100}m = 0.27m }$

Put all the values in the formula:-

$: \implies \sf{0.54 = \frac{1}{2} \times 0.27 \times (Length + Breadth)}$

Let the sum of Length and Breadth together be x

$: \implies \sf{x = \frac{0.54 \times 2}{0.27} }$

$: \implies \sf{x = \frac{1.08}{0.27} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \boxed{ \underline{ \pink{ \huge{ \tt{x = 4m}}}}}}$

Therefore, The sum of lengths of its parallel sides is 4m.