Q:

The length of a rectangle is twicethe width. If the perimeter of therectangle is 60 units, find the areaof the garden.

Accepted Solution

A:
Answer:Step-by-step explanation:The permiter of a rectangle got be determined by the following equation:P = 2L + 2Wwhere P is the perimeter, L is the length of the rectangle, and W is the width of the rectangle.From the problem statement, we know that P = 60, and that the length is twice the width, so we have the following two equations:60 = 2L + 2WL = 2WIf we substitute the second equation into the first, we have the following:60 = 2(2W) + 2W60 = 4W + 2W60 = 6W10 = WPlugging this value back into the second equation, we have the following:L = 2WL = 2(10)L = 20The area of a rectangle is determined by the following:A = LWwhere A is the area.Plugging in the values that we determined previously we give you the answer.