Question

the length of trapezium is 24m2 and its height is 3m. if one of the parallel side is smaller than the other by 2m. find the two parallel sides
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Answer 1

Question:

The area of a trapezium is 24m² and its height is 3m. If one of the parallel side is smaller than the other by 2m. Find the two parallel sides.

Answer:

Measure of parallel sides : 9m and 7m

Given:

• Area of the trapezium = 24m²
• Height of the trapezium = 3m
• One parallel side is 2 m smaller than the other

To Find:

• The two parallel sides

Solution:

Let one parallel side = x

The Other parallel side = ( x - 2 )

$\underline{\boxed{\rm \: area \: of \: trapezium \: = \dfrac{1}{2} \times (p_1 + p_2) \times h}}$

• p1 = one parallel side
• p2 = other parallel side
• h = height

_______________________________

⟹ 24 = 1/2 {x + ( x - 2) } × 3

⟹ 24 = 1/2 ( 2x - 2 ) × 3

⟹ 24 = ( x - 1 ) × 3

⟹ 24/3 = x - 1

⟹ 8 = x - 1

⟹ 8 + 1 = x

⟹ 9 = x

One parallel side = x = 9

other parallel side = (x - 2) = 7

Answer 2

Correct Question

The area of trapezium is 24m² and its height is 3m. if one of the parallel side is smaller than the other by 2m. Find the two parallel sides.

Asked

Two || sides of the trapezium.

Formula Used

area of trapezium= 1/2 × { sum of || sides }

× height

Answer Starts

Given

Area of the trapezium = 24m²

Height of the trapezium = 3m

Side2 = ( Side1 - 2 )

Solve

Let the Side1 be x

then,

Side2 = ( x - 2 )

| According to the formula:

|

| 24 will be in the place of area.

|

| 3 will be in the place of height.

|

| x will be in the place of side1

|

| (x-2) will be in the place of side2

|

then,

24 = 1/2 { x + ( x - 2 ) } × 3

24 = 1/2 ( 2x - 2 ) × 3

24 = ( x - 1 ) × 3

24/3 = ( x - 1 )

8 = ( x - 1 )

x = 8 + 1

x = 9

So,

Side 1 = x

= 9m

Side 2 = ( x - 2 )

= ( 9 - 2 )

= 7m

hence,

The two || sides of the trapezium are of 9m and 7m respectively.

Answer Completed

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