Question

The width of a rectangle is 3x+5 and the length of the rectangle is 6x+10. Determine the ratio of the width to the perimeter.

Plz help

Answer 1

1 : 6

Explanation:

Calculate the perimeter

perimeter = 2(3x + 5) + 2(6x + 10) = 6x + 10 + 12x + 20 = 18x + 30

perimeter = 18x + 30 ← take out a common factor of 6 from both terms

= 6(3x + 5)

ratio of width : perimeter

= 1(3x + 5) : 6(3x + 5) ← divide both parts by (x + 5)

= 1 : 6