Math, asked by ommsaisatyajeet, 5 months ago

AREA OF THE TRAPEZIUM =176 cm^2
HEIGHT= 8 cm
ONE OF THE PARALLEL SIDES =10 cm
FIND THE OTHER PARALLEL SIDE​

Answers

Answered by prabhukarthick004
15

Answer:

the other side be b=34cm

Step-by-step explanation:

area of the trapezium =176 cm.Sq

it is height is 8cm and one side=10cm

area of the trapezium=A=a+b2h

b=2A/ha

b=2×176/8×10

b=34cm

Answered by Anonymous
193

\huge{Given:}

  • Area of trapezium = 176cm²
  • Distance between their parallel sides = 8cm
  • Length of one side = 10cm

\huge{To find :}

  • Length of other side.

\huge{Solution :}

Here, we are given with the area of the trapezium, and the distance, and length of one side, and we need to find the length of other side. For that we will use the formula area of Trapezium.

sᴏ :

Let the length of other side be x

Area  \: of  \: trapezium = \sf\dfrac{a + b}{2} \times

ᴡʜᴇʀᴇ :

  • a = Length of 1st side.

  • b = length of 2nd side

  • h = Distance

ᴏɴ sᴜʙsᴛɪᴛᴜᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇs :

⟶ 176 = \sf\dfrac{10 + x}{2} \times 8

⟶ 176 = \sf\dfrac{10 + x\times 8}{2}

⟶ 176 = (10 + x) × 4

⟶ (10 + x) = \sf\dfrac{176}{4}

⟶ (10 + x) = 44

⟶ 44 - 10

⟶ x = 34 cm

\bigstar \: \underline{\boxed{\bf{\red{⟶ x = 34 cm}}}}

therefore∴ The length of other side is 34cm

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