7. The four sides of la quadri lateral are in the ratio of 2:3 4:5 if the perimeter of the quadrilateral is 280 mm, find the length of the four sides. . "Happiness is when what you think what you say, and what you do harmony, Mahatma Gandhi
Answers
Answer:
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Answer:
The four sides of a quadrilateral are, 40 mm, 60 mm, 80 mm and 100 mm
Explanation:
4 sides of a quadrilateral are in the ratio of 2:3:4:5
Perimeter of the quadrilateral is 280 mm
Let, 4 sides of a quadrilateral be 2x, 3x, 4x and 5x
Sum of all sides = Perimeter
2x + 3x + 4x + 5x = 280
14x = 280
x =
x = 20
∴ The value of x = 20
Then, 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.