Question

The area of a trapezium shaped field is ${\sf {{480m}^{2}}}$, the distance between two parallel sides is 15m and one of the parallel side is 20m . Find the other parallel side.​

Answer 1

Answer:

refer to the image for solution

hope it will help you

Answer 2

${\Large {\underline {\sf {\bf {\pink {ꓖⲓⳳⲉⲛ ~Qⳙⲉ⳽ⲧⲓⲟⲛ}}}}}}$

The area of a trapezium shaped field is ${\sf {{480m}^{2}}}$, the distance between two parallel sides is 15m and one of the parallel side is 20m . Find the other parallel side.

${\Large {\underline {\sf {\bf {\pink {Ⲇⲛ⳽ⲱⲉⲅ}}}}}}$

Given :-

• The area of a trapezium shaped field is 480 m²

• The distance between two parallel sides is 15 m

• one of the parallel side is 20m .

To find :-

• Find the other parallel side.

Solution :-

ABCD is a trapezium with parallel sides AB and CD

AB = 20 m and

Let, the length of the other parallel side,CD be ' x ' m

• Area of the trapezium ( A ) = 480 m²

• Height of the trapezium ( h ) = 15 m

We know that,

${\boxed {\sf {\pink {Area\:of\:trapezium= \dfrac {AB+CD}{2} \times h}}}}$

Where,

• AB + CD = sum of parallel sides

• h = height of the trapezium

According to the question,

$\sf{:\implies 480=\dfrac{20+x}{2}×15}$

$\sf{:\implies \dfrac{2×480}{15}=20+x}$

$\sf{:\implies 64=20+x}$

$\sf{:\implies 20+x=64}$

$\sf{:\implies x=64-20}$

$\sf{:\implies x=44}$

${\underline {\boxed{\bf{\red{x\:=\:CD\:=44~m.}}}}}$

Hence,

${\underline{\purple{\textsf{\textbf{Length\:of\:other\:parallel\:side\:is\:44\:m.}}}}}$