Question

a rectangular shaped park contains two gardens of multi - colored roses. sidewalks enclose the whole park and each of the gardens. what is the total length of the sidewalks that surround these two gardens? 30 meters 20 meters 24 meters 20 meters a. 148 meters b. 144 meters c. 134 meters d. 94 meters

Explanation:

Step1: Analyze the perimeters of the two - triangular gardens

The first triangular garden has side - lengths 30 meters, 24 meters, and 20 meters. The perimeter of the first triangle $P_1=30 + 24+20=74$ meters.
The second triangular garden has side - lengths 30 meters, 24 meters, and 20 meters (it is congruent to the first one). The perimeter of the second triangle $P_2=30 + 24+20=74$ meters.

Step2: Calculate the total length of the sidewalks

The total length of the sidewalks around the two gardens is $P = P_1+P_2$. Since $P_1 = 74$ meters and $P_2 = 74$ meters, then $P=74 + 74=148$ meters.

Answer:

A. 148 meters