Question

The perimeter of a Trapezium is 65 cm and its non parallel sides are 15 cm and 14 CM if the height of the trapezium is 24 cm find its area.

Answer 1

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Here is your answer.
Perimeter of Trapezium is 65 cm

Sum of non parallel side are =( 15 + 14) cm
= 29 cm
Let Sum of parallel sides is x cm

Perimeter = ((Sum of parallel sides)+(Sum of non parallel sides)
$65 = x + 29 \\ \\ x = 65 - 29 \\ \\ x = 36$
Height of Trapezium is 24 cm

Area of Trapezium = 1/2(Sum of parallel sides)(height)
$= \frac{1}{2} \times 36 \times 24 \\ \\ = 36 \times 12 \\ \\ = 432 \: cm {}^{2}$
Therefore Area of Trapezium is 432 sq.cm

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Answer 2

Step-by-step explanation:

answer is 432cm

${432}^{2}$