Q:

The lengths of the sides of a quadrilateral are in extended ratio 1:1:2:3. the perimeter is 56 feet what are the lengths of the sides

Accepted Solution

A:
Length of sides of quadrilateral are 8 feet, 8 feet, 16 feet, 24 feetSolution:Given that length of the sides of a quadrilateral are in extended ratio 1:1:2:3Perimeter of the quadrilateral = 56 feetNeed to determine length of the sidesAs length of the sides of a quadrilateral are in extended ration 1: 1: 2: 3  lets assume that four sides of rectangle = 1x, 1x, 2x and 3xPerimeter of quadrilateral = sum of length of four sides  => Perimeter of quadrilateral = 1x + 1x + 2x + 3x = 7xAs given that perimeter = 56 feet=> 56 = 7xx = 8Then the length of sides are:1x = 1(8) = 8 feet1x = 1(8) = 8 feet 2x = 2(8) = 16 feet 3x = 3(8) = 24 feet