Question

Area of trapezium is 105 cm².one parallel side is 15 cm and height is 5cm.find the other parallel side.​

Answer 1

Answer :

The other parallel side of trapezium is 27 cm.

Step-by-step explanation :

To Find,

• The other parallel side of the trapezium

Solution,

Given that,

• Area of trapezium = 105 cm²
• One parallel side = 15 cm
• Height ( distance between them ) = 5 cm

Therefore,

As we know that,

Area of trapezium = 1/2 × ( sum of parallel sides ) × Distance

=> 105 = 1/2 × ( x + 15 ) × 5

=> x + 15 = 105 × 2 / 5

=> x + 15 = 21 × 2

=> x + 15 = 42

=> x = 42 - 15

=> x = 27 ★

Hence, the other parallel side of the trapezium is 27 cm.

Answer 2

Answer:

Question

Area of a trapezium is 105 cm² . One of it's parallel side is 15 cm and height is 5 cm .

To find

Find the other parallel side

Step-by-step explanation:

Given

Area of a trapezium is 105 cm²

height of a trapezium given: 5 cm

One parallel side is 15 cm

Formula to be used

$area \: of \: trapezium \: = \frac{ 1}{2} \: \times sum \: of \: parallel \: sides \: \times \: distance \:$

$now \: putting \: the \: values \: in \: the \: formula$

$= > 105 \: = \frac{1}{2} \times (x + 15) \times 5$

$= > x + 15 = 105 \: \times \frac{2}{5}$

$= > x + 15 = 21 \times 2$

$= > x + 15 = 42$

$= > x = 42 - 15$

$= > x = 27 \: cm$

•°• The other side of the trapezium is 27 cm

Know more

Area of trapezium is the region covered by a trapezium in a two-dimensional plane. It is the space enclosed in 2D geometry. A trapezium is a 2D shape that falls under the category of quadrilaterals. Similar to other geometrical shapes, it also has its own properties and formulas based on area and perimeter.