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

Length of sides of quadrilateral are 8 feet, 8 feet, 16 feet, 24 feet

Given that length of the sides of a quadrilateral are in extended ratio 1:1:2:3

Perimeter of the quadrilateral = 56 feet

Need to determine length of the sides

As 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 3x

Perimeter of quadrilateral = sum of length of four sides  

=> Perimeter of quadrilateral = 1x + 1x + 2x + 3x = 7x

As given that perimeter = 56 feet

=> 56 = 7x

x = 8

Then the length of sides are:

1x = 1(8) = 8 feet

1x = 1(8) = 8 feet

2x = 2(8) = 16 feet

3x = 3(8) = 24 feet

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are