Question

Find the perimeter of the composite heart shape, round to two decimal places. pls help

Answer 1

18.00 cm

Explanation:

This composite heart shape consists of two semi-circles and a rectangle.

`r_(ssc)` = radius of small semi-circle

=
`(3 cm)/(2)` = 1.5 cm

`r_(bsc)` = radius of big semi-circle

=
`(4 cm)/(2)` = 2 cm

Perimeter of this composite shape

= Perimeter of big semi-circle + Perimeter of small semi-circle + 2 outer sides of the rectangle

=
`((2)/(2) \pi r_(bsc) + (2)/(2) \pi r_(ssc) + 3 + 4)` cm

=
`(\pi r_(bsc) + \pi r_(ssc) + 3 + 4)` cm

=
`[\pi (2) + \pi (1.5) + 3 + 4]` cm

=
`(2\pi + 1.5\pi + 7)` cm

=
`(3.5\pi + 7)` cm

= 17.995 cm

= 18.00 cm (Rounded to two decimal places)