Question

the four sides of a quadrilateral are in the ratio of 2:3:4:5 . if the perimeter of the quadrilateral is 280 mm find the the lengths of the four sides

Answer 1

Step-by-step explanation:

Let the common multiplier of the given ratios be x, therefore lengths of sides of quadrilateral will be 2x, 3x, 4x and 5x

Now,

Perimeter of quadrilateral = 280 mm

Therefore

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

14 x= 280

x = 280/14= 2

Thus the sides of the quadrilateral will be 4mm, 6 mm, 8mm and 10 mm.

Answer 2

Given :

• The four sides of a quadrilateral are in the ratio of 2:3:4:5.
• The perimeter of the quadrilateral is 280 mm.

To find :

• The lengths of the four sides =?

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.