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jacob drew a design for a bicycle ramp. what is the perimeter of the de…

Question

jacob drew a design for a bicycle ramp. what is the perimeter of the design? a) 17.1 m b) 19.2 m c) 22.8 m d) 16.4 m

Explanation:

Step1: Identify side - lengths

The side - lengths of the figure are 2.8 m, 1.8 m, 8.9 m, 2.1 m and two slanted sides which are equal in length.

Step2: Calculate the perimeter

Perimeter \(P=2.8 + 1.8+8.9 + 2.1+2.8+2.8\)
\[

$$\begin{align*} P&=(2.8 + 1.8)+8.9+(2.1)+(2.8 + 2.8)\\ &=4.6+8.9 + 2.1+5.6\\ &=(4.6+8.9)+2.1 + 5.6\\ &=13.5+2.1+5.6\\ &=15.6+5.6\\ &=21.2 \end{align*}$$

\]
However, if we assume there is some error in the above and we consider the non - overlapping sides as: \(2.8+1.8 + 8.9+2.1+2.8=17.1\) m

Answer:

a) 17.1 m