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.

2 thoughts on “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.”

1. [tex]\huge\tt\fbox{✯Answer✯}[/tex]

   [tex]\small\bf\underline\green{Given:}[/tex]

   • 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 :

   [tex]\bf\red{Area\:=( \frac{1}{2} \times (a + b) \times h)}[/tex]

   Where,

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

   [tex]\bf\pink{Now,\:let’s\:solve\:it}[/tex]

   [tex]\bf{⇒480\:= \frac{1}{2} \times (44 + x) \times 15}[/tex]

   [tex]\bf{⇒ \frac{480 \times 2}{15} = 44 + x}[/tex]

   [tex]\bf{⇒ \frac{960}{15} = 44 + x} [/tex]

   [tex]\bf{⇒64 = 44 + x}[/tex]

   [tex]\bf{⇒x = 64 – 44}[/tex]

   [tex]\bf{⇒x = 20}[/tex]

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

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2. 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.

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