Saved Bookmarks
| 1. |
the side of a quadrilateral are in the ratio of 1:2:3:4 and its perimeter is 40 cm . find the length of each side |
|
Answer» he sides of a quadrilateral are in the ratio 1:2:3:4 To find:Each SIDE of the quadrilateralNow,Let the sides be 1x cm, 2x cm, 3x cm, 4x cm Also given that,The perimeter of the quadrilateral is 40cmso,⇒ 1x + 2x + 3x + 4x = 40⇒ 10X = 40⇒ x = 40 ÷ 10[Transporting 10 to RHS]⇒ x = 4So, the value of x is 4Now, Each side are1x = 1*4 = 4 cm2x = 2*4 = 8 cm3x = 3*4 = 12 cm 4x = 4*4 = 16 cmHence,The all four side of the quadrilateral is 4 cm, 8 cm, 12 cm and 16 cm.- - - Verifications,The sum of the all four sides= 4 + 8 + 12 + 16= 12 + 12 + 16= 24 + 16= 40 cm as given in the question(perimeter of the quadrilateral) |
|