Question

The area of a trapezium is 48 sq. m and one of its parallel sides is 10 m. If the altitude of the trapezium is 6 m, find the length of the other parallel side​

Answer 1

**Answer**

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Answer 2

Question ::-

The area of a trapezium is 48 ${m}^{2}$ and one of its parallel sides is 10 m. If the altitude of the trapezium is 6 m, find the length of the other parallel side.

Given ::-

• Area of trapezium = 48 ${m}^{2}$

• Length of one parallel side = 10m

• Altitude of trapezium = 6m

To find ::-

• length of the other parallel side ?

Solution ::-

• Area = 48 ${m}^{2}$

• Length of one parallel side = 10m

• Height = 6m

• Area of trapezium

• Area = $\dfrac{1}{2}$ × ( sum of ll sides) × height

__________

Let the other side be g.

$⟼$ Area = $\dfrac{1}{2}$ × ( sum of ll sides) × height

$⟼$ 48 = $\dfrac{1}{2}$ × ( 10 + g) × 6

$⟼$ 48 = 1 × ( 10 + g) × 3

$⟼$ 48 = ( 10 + g ) × 3

$⟼$ 48 = 30 + 3g

$⟼$ 48 - 30 = 3g

$⟼$ 18 = 3g

$⟼$ $\dfrac{18}{3}$ = g

$⟼$ 6 = g

______________

Hence, the length of other parallel side is 6cm