Question

The area of a trapezium is 176 cm^2. The distance between parallel sides is 8 cm and one of the parallel sides is 10 cm. Find the other​

Answer 1

Answer:

Step-by-step explanation:

Area of trapezium

= ½(sum of parallel sides)(altitude)

Here, area=176cm²;sum of parallel sides=10+x; altitude=8cm

By substituting we get,

176 = ½(10+x)8

176 = (10+x)4

44 = 10+x

x = 34

i.e., length of the other side is 34cm

Answer 2

Given -

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

To find -

• Length of other side.

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

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

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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