Question

What is the perimeter of the figure?

A. 68 1/2 yd
B. 68 5/14 yd
C. 67 1/2 yd
D. 67 5/14 yd

Answer 1

The perimeter of the figure is,
`68 (1)/(2)` yd

Explanation:

The perimeter of the figure is,

`(10(1)/(3) + 24(1)/(4) + 15(2)/(3) + 18(1)/(4))` yd

=
`((10+24+15+18)+ (\frac {1}{3} + \frac {2}{3} + \frac {1}{4} + \frac {1}{4}))` yd

=
`(67 + 1 + (1)/(2))` yd

=
`68 (1)/(2)` yd

We know that if there is a polygon with side lengths
`a_(i)` unit ∀

i = 1(1}n where n ∈ N - {1, 2}

then, it's perimeter is given by,

`\sum_(i=1)^(n)a_(i)` unit