One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the rectangle? Which of the following equations could be used to solve the problem? 2x+ 2 x - 3 = 54 0 2x+ 2(x-3) = 54 02x-3= 54
Mathematics · High School · Mon Jan 18 2021
Answered on
Let one side of rectangle be x
Then, other side of rectangle is x - 3
We know, Perimeter of rectangle = 2(L + B)
Perimeter = 54
54 = 2(x + x - 3)
2x + 2(x - 3) = 54
Hence, option 2 is correct.
Solving the equation, we get
2x + 2x - 6 = 54
4x = 54 + 6
4x = 60
x = 60/4
x = 15
And, 15 - 3 = 12
Hence, dimensions of rectangle is (15,12).