Question

The figure is drawn on centimeter grid paper. Find the perimeter of the shaded figure to the nearest tenth.

The image is of a rectangular centimeter grid paper. Two segments originating from right hand side vertex meets the base and adjacent left hand side vertical side. The area thus formed is shaded.


A. 17.6 cm
B. 10.8 cm
C. 15.6 cm
D. 18.0 cm

Answer 1

\[upper~slant~length=\sqrt{7^2+3^2}=\sqrt{49+9}=\sqrt{58}~cm \approx 7.62 ~cm\]
\[lower ~slant~length=\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}=5~cm\]
horizontal base=4 cm
vertical height=1 cm
perimeter=7.62+5+4+1=17.62 cm=17.6 cm