Question

(ii) The perimeter of a trapezium is 72 cm and its non-parallel sides are 12
each. If its height is 16 cm, the area will be
(a) 384 cm (6) 288 cm
(c) 576 cm (d) 768 cm
and the distance b​

Answer 1

Answer:

384cm²

Step-by-step explanation:

Perimeter = a +b+c+d

72= 24 + a + b

a+b= 72-24

A+b= 48

Area = 1/2×h (a+b)

= 8× 48

= 384 cm²

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Answer 2

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Given

• Perimeter of trapezium = 72cm

• Non- parallel sides = 12+ 12 = 24cm

• Height = 16cm

To Find

• Area of Trapezium

Solution

Let the sum of parallel sides be x

Perimeter = 72cm

➨ x + 24cm = 72 cm

➨ x = 72cm - 24cm

➨ x = 48cm

${\tt {\red {\bold {Area \: of \: trapizium = \frac{1}{2} \times parllel \: sides \times h }}}}$

$\bf \implies \frac{1}{2} \times parallel \: side \times h$

$\bf \implies \frac{1}{2} \times 48 \times 16$

$\bf \implies384 {cm}^{2}$

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