Question

The four sides of a quadrilateral are in the ratio of 2:3:4:5. If the perimeter of the quadrilateral is 280m, Find the lengths of the four sides

Answer 1

Answer:

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Step-by-step explanation:

Let, the four sides of a quadrilateral are, 2x, 3x, 4x and 5x be.

It is Given that,

The perimeter of the quadrilateral is 280 mm.

As We know that,

Sum of all sides = Perimeter

So,

2x + 3x + 4x + 5x = 280

14x = 280

x = 280/14

x = 20.

Therefore, We got the value of, x = 20.

Hence,

The four sides of a quadrilateral are,

2x = 2 × 20 = 40 mm

3x = 3 × 20 = 60 mm

4x = 4 × 20 = 80 mm

5x = 5 × 20 = 100 mm

Hence, the four sides of a quadrilateral are, 40 mm, 60 mm, 80 mm and 100 mm respectively.