Question

The area of a trapezium shaped field is 480m, the distance between two parallel sides is 15m and one of the parallel side is 44m. find the other parallel side.​

Answer 1

Answer:

One of the parallel sides of the trapezium is a = 20 m, let another parallel side be b, height h = 15 m. The given area of trapezium = 480 m2. or b = 44 m. Hence the other parallel side of the trapezium is 44 m.

Answer 2

$\huge\tt\fbox{✯Answer✯}$

$\small\bf\underline\green{Given:}$

• Area of the trapezium = 480 m
• Distance between two sides = 15 m
• one of the parallel side = 44 m

Let the other side of parallel side of the trapezium be "x" m

Now let's calculate the other side of the trapezium by using the area's formula of trapezium , the formula is :

$\bf\red{Area\:=( \frac{1}{2} \times (a + b) \times h)}$

Where,

• a and b is the sum of parallel sides.
• h is the height .
• Area is given , that is 480m

$\bf\pink{Now,\:let's\:solve\:it}$

$\bf{⇒480\:= \frac{1}{2} \times (44 + x) \times 15}$

$\bf{⇒ \frac{480 \times 2}{15} = 44 + x}$

$\bf{⇒ \frac{960}{15} = 44 + x}$

$\bf{⇒64 = 44 + x}$

$\bf{⇒x = 64 - 44}$

$\bf{⇒x = 20}$

Hence, the other parallel side of the trapezium is 20m.