Question

The area of a trapezium is 34 cm² and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

Note:
- Need Full Explanation
- Don't Spam ​

Answer 1

Answer:

question- The area of a trapezium is 34 cm² and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

hint- we are given that the area of trapezium is 34 sq cm, length of the one Parallel of the trapezium are 10m and height is 4m. substitute values in the formula of area of trapezium,

$A = \frac{1}{2} \: (a + b) \\ \: where \: a \: and \: b \: are \: length \: of$

parallel lines and h is the height of the

trapezium to find the length of other parallel side

step by step explanation- we are given that the area of a trapezium is 34 square cm. trapezium is a quadrilateral with a pair of parallel sides a pair of non parallel sides the length of the one side the trapezium is 10cm and the lenght of its height is 4cm

we know that the area of the trapezium is

$A = \frac{1}{2} \: (a + b) \\ \: where \: a \: and \: b \: are \: length \: of$

parallel lines and h is the height of the trapezium

on substituting the values,

$A = 34, \: a = 10$

and h= 4 in the above formula of area of the trapezium

hence, we have

$34 = \frac{1}{2} \: (10 + b) \: (4)$

solve RHS by dividing 4 by 2

$34 = (10 + b) \: (2)$

$34 = 20 + 2b$

subtracting 20 on both sides,

$2b = 14$

the equation throughout by 2

$b = 7$

hence, the length of the other parallel side is 7cm.

note- a trapezium has four sides, in which are parallel and two are non parallel sides the distance between the parallel sides is the height of the trapezium. after the step,

$34 = (10 + b) \: (2)$

we can also divide the equation by 2 and then solve for b instead of opening brackets

$\sf \pink{ »»}— {@MysticalMagic} \purple{★°*ﾟ♡}$

Answer 2

Question:

The area of a trapezium is 34 cm² and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

Given:

• Area of Trapezium= 34 cm²
• Length of one parallel side is 10 cm
• Height= 4 cm

To Find:

• The length of other parallel side.

Formula to be used:

$\mathsf{Area\: of\: Trapezium=\large\frac{1}{2}(a+b)\times h}$

Where,

• 'a' is length of one of the parallel sides of Trapezium.
• 'b' is length of other parallel side of Trapezium.
• 'h' is height of Trapezium.

Solution:

$\dashrightarrow\mathsf{Area\: of\: Trapezium=\large\frac{1}{2}(a+b)\times h}$

Putting all values of Area of Trapezium, length of one of the parallel sides of Trapezium and height of Trapezium in the formula. We get,

$\dashrightarrow\mathsf{34=\large\frac{1}{2}(10+b)\times 4}$

$\dashrightarrow\mathsf{34=(10+b)\times 2}$

$\dashrightarrow\mathsf{\large\frac{34}{2}=10+b}$

$\dashrightarrow\mathsf{17=10+b}$

$\dashrightarrow\mathsf{17-10=b}$

$\color{skyblue}{\dashrightarrow\mathsf{7=b}}$

$\therefore$ the length of the other parallel side is 7 cm.

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