Question

The area of a trapezium - shaped field is 630 sq. m . The distance between two parallel sides and one of the parallel is 28 m. Find the other parallel side.

Answer 1

GIVEN:

• The area of a trapezium - shaped field is 630 sq. m
• The distance between two parallel sides (height ) = 28 m
• One of the parallel side = 28 m

TO FIND:

• What is the other side ?

SOLUTION:

Let the another side be 'x' m

We know that the formula for finding the area of trapezium is:-

$\large\boxed{\bf{\star \: Area = \dfrac{1}{2} \times (sum \: of \: parallel \: sides) \times height \: \star}}$

Here,

• Height = 28 m
• One parallel side = 28 m
• Another parallel side = x m

According to question:-

On putting the given values in the formula, we get

$\rm{\dashrightarrow 630 = \dfrac{1}{2} \times (28 + x) \times 28 }$

$\rm{\dashrightarrow 630 \times 2 = 784 + 28x }$

$\rm{\dashrightarrow 1260 = 784 + 28x }$

$\rm{\dashrightarrow 1260 - 784 = 28x }$

$\rm{\dashrightarrow 476 = 28x }$

$\rm{\dashrightarrow \cancel\dfrac{476}{28} = x }$

$\large{\boxed{\bf{\star \: x = 17 \: m\: \star}}}$

❝ Hence, the other side of the trapezium is 17 m ❞

______________________

Answer 2

Answer:

here is your ans please like my ans

area of trapezium = half × (a + b) h

where a and b are parallel sides