Math, asked by niharikadhawam98, 4 months ago

if the area of trapezium is 286 sqcm and its height is 13 cm what is the sum of its parallel sides ? if one of these sides is 20 cm what is the length of other side​

Answers

Answered by atharvgautam0606
3

Answer:

Answer: The other parallel side is 24 cm.

Answered by Yuseong
19

Given Information:

• Area of trapezium =  \sf {286 \: {cm}^{2} }

• Height = 13 cm

• One of the parallel sides = 20 cm

To calculate:

• Sum of its parallel sides.

• Length of the another side of parallel sides.

Calculation:

As we know that,

\sf { \longrightarrow {Area}_{(Trapezium)} = \dfrac{1}{2} \times (a+b) \times h } \\ \\ \\ :\implies \boldsymbol{a + b = Sum \: of \: parallel \: sides } \\ \\ \\ \sf { \longrightarrow 286 = \dfrac{1}{2} \times (a+b) \times 13} \\ \\ \\  \sf { \longrightarrow 286 \times 2= (a+b) \times 13} \\ \\ \\ \sf { \longrightarrow 572= (a+b) \times 13} \\ \\ \\  \sf { \longrightarrow \dfrac{572}{13}= (a+b) } \\ \\ \\ \longrightarrow \underline{\boxed{\sf {44 \: cm = (a+b)}}} \: \: \red{\bigstar}

Henceforth, the sum of its parallel side is 44 cm.

Now, it is given that one of these sides is 20 cm,say length of "a" is 20 cm and we have to find the length of another side i.e length of "b".

 \sf { \longrightarrow \: a + b = 44 \: cm } \\ \\ \\  \sf { \longrightarrow \: 20 + b = 44 \: cm } \\ \\ \\  \sf { \longrightarrow \:  b = 44 - 20 \: cm } \\ \\ \\ \longrightarrow \underline{\boxed{\sf {b = 24 \: cm }}} \: \: \red{\bigstar}

Henceforth, the length of other side is 24 cm.

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