Question

The area of a trapezium is 176 cm2
, The distance between
its parallel sides is 8 cm and one of the parallel sides is of length
10 cm. The length of the other side is

Answer 1

Answer:

length of the other side is 34.

Step-by-step explanation:

let,the length of the other side be a.

1/2 (a+10) (8) = 176

(a+10)= (176) 2/8

a =44-10

a =34

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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 trapeizium, 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.

So -

Let the length of other side be x

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

Where -

a = Length of 1st side.

b = length of 2nd side

h = Distance

On substituting the values -

$\longrightarrow$ 176 = $\sf\dfrac{10 + x}{2}$ × 8

$\longrightarrow$ 176 = $\sf\dfrac{10 + x\times 8}{2}$

$\longrightarrow$ 176 = (10 + x) × 4

$\longrightarrow$ (10 + x) = $\sf\dfrac{176}{4}$

$\longrightarrow$ (10 + x) = 44

$\longrightarrow$ 44 - 10

$\longrightarrow$ x = 34 cm

$\therefore$ The length of other side is 34cm

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