Question

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Answer 1

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Answer 2

$\huge{\boxed{\rm{\red{Given\::}}}}$

→ Perimeter of the trapezium = 104 m

→ Non parallel sides are 18 m and 22 m

→ It's Altitude = 16 m

$\huge{\boxed{\rm{\green{To \ Find \::}}}}$

↦ Area of the trapezium

$\huge{\boxed{\rm{\purple{Solution\::}}}}$

• Let the sum of parallel sides be x

At first, we need to find perimeter

$\boxed{\bf{\gray{Perimeter \ = \ Sum \ of \ all \ sides}}}$

⇒ 104 = 18 + 22 + x

⇒ 104 = 40 + x

⇒ x = 64

Now, finding the area of trapezium

$\boxed{\bf{\gray{Area_{\:trapezium} \ = \ \dfrac{1}{2} \ \times \ Sum \ of \ all \ sides \ \times \ Height}}}$

➸ Area = ½ × 64 × 16

➸ Area = ½ × 1024

➸ Area = 512

$\therefore \:\:{\boxed{\bf{\orange{Area\: of\: the\: trapezium\: is\: 512\: m^{2}}}}}$