Question

The area of trapezium is 1350cm square and perpendicular distances between parallel sides is 25cm. Find the length of parallel sides if one side is twice the other side.​

Answer 1

Answer:

The two parallel sides are 36 centimetres and 72 centimetres

Step-by-step explanation:

Given

Area of trapezium = 1350cm²

Perpendicular distance = height = 25 centimetres

First parallel side = X                 (a)

Second parallel side = 2X         (b)

Area of trapezium = 1/2 (a + b) × height

So,

Area of trapezium = 1/2 (X + 2X) × 25 = 1350 cm²

= 1/2 (3X) = 1350 /25

= 1/2 (3X) = 54

= 3X = 108

=  X = 108/3

= X = 36

First parallel side = X = 36 centimetres

Second parallel side = 2X = 36 × 2 = 72 centimetres

The two parallel sides are 36 centimetres and 72 centimetres

Answer 2

Answer: 36 cm nd 72 cm

Step-by-step explanation is provided in the attachment attached.

So kindly refer it .

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Glad if helped.