Question

The area of a trapezium is 750 cm² and the parallel sides are 36 cm and 24 cm. The height of the trapezium is

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Answer 1

Question:-

• The area of a trapezium is 750 cm² and the parallel sides are 36 cm and 24 cm. The height of the trapezium is.

To Find:-

• Find the height.

Solution:-

Formula to be Used:-

• $\sf \ Area = \dfrac { 1 } { 2 } ( a + b )h$

Now ,

We have to find the height:-

$\dashrightarrow \sf \ 750 = \dfrac { 1 } { 2 } ( 36 + 24 ) h$

$\dashrightarrow \sf \ 750 = \dfrac { 1 } { 2 } \times 60h$

$\dashrightarrow \sf \ 750 = \dfrac { 60h } { 2 }$

$\dashrightarrow \sf \ h = \cancel\dfrac { 750 \times 2 } { 60 }$

$\dashrightarrow \sf \ h = 25 cm$

Hence ,

• Height is 25 cm.

Answer 2

Explanation:

Question:-

The area of a trapezium is 750 cm² and the parallel sides are 36 cm and 24 cm. The height of the trapezium is.

To Find:-

Find the height.

Solution:-

Formula to be Used:-

\sf \ Area = \dfrac { 1 } { 2 } ( a + b )h Area=

2

1

(a+b)h

Now ,

We have to find the height:-

\dashrightarrow \sf \ 750 = \dfrac { 1 } { 2 } ( 36 + 24 ) h⇢ 750=

2

1

(36+24)h

\dashrightarrow \sf \ 750 = \dfrac { 1 } { 2 } \times 60h⇢ 750=

2

1

×60h

\dashrightarrow \sf \ 750 = \dfrac { 60h } { 2 }⇢ 750=

2

60h

\dashrightarrow \sf \ h = \cancel\dfrac { 750 \times 2 } { 60 }⇢ h=

60

750×2

\dashrightarrow \sf \ h = 25 cm⇢ h=25cm

Hence ,

Height is 25 cm.