Answer:
Step-by-step explanation:
Given
Required
Determine their next meeting time
First, we need to get their unit rate in minutes per round
Convert 360 seconds to minutes
Divide by 2/2
So, we have:
Next, is to determine the LCM of 18, 6 and 2
Their LCM is:
This means that they will meet 18 minutes after their initial time of departure.
So:
Answer:
Step-by-step explanation:
Perimeter is
P = 2L + 2W. We are given the perimeter as 180 feet, so
180 = 2L + 2W. Solve this for either L or W. I chose W, no reason...
180 - 2L = 2W so
90 - L = W Hold that thought. We'll come back to it in a minute.
Area is
A = LW. We are given the area as 1800 square feet, so
1800 = LW. Sub in 90 - L for W:
1800 = L(90 - L). Distribute to get a quadratic:
Get everything on one side and solve for the length by factoring:
Factor this however you like to factor quadratics, to get the length of
L = 30 and L = 60. First off, the length is longer than the width in general, so if we want to solve for the width, plug in 60 as L in the equation in bold print:
90 - 60 = W and
30 = W
So L = 60 and W = 30