Question

the parallel side of a trapezium are in the ratio 5:3 and the and the other side are 10 cm each if the perimeter of trapezium is 92 cm find the length of the parallel side and areas of the trapezium​

Answer 1

Answer:

Let parallel sides of trapezium are 5x & 3x

so Perimeter = 10+10+5x+3x = 92

8x = 92–20 = 72

x = 9

so length of parallel sides are 45cm, 27cm.

now,

Area of trapezium =

$\frac{1}{2} \times (sum \: of \: parallel \: sides) \times height$

Height =

$\sqrt{ {10}^{2} - {9}^{2} } = \sqrt{19}$

so Area =

$\frac{1}{2} \times (45 + 27) \times \sqrt{19} =$

$\frac{1}{2} \times 72 \times \sqrt{19} = 36 \sqrt{19} \: {cm}^{2}$

Ans.

Answer 2

Answer:

hence the area.is

$36 \sqrt{19}$

Step-by-step explanation:

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