Homework SourseThe length of a rectangle is 1 m more than twice the width a
The length of a rectangle is 1 m more than twice the width, and the area of the rectangle is 28m^2. Find the dimensions of the rectangle.
Length:
Width:
The length of a rectangle is 1 m more than twice the width, and the area of the rectangle is 28m^2. Find the dimensions of the rectangle.
Length:
Width:
Length:
Width:
Solution
Let the width be x m
Length = 2x + 1
Area = width * length
or, 28 = x * (2x + 1)
or, 28 = 2x2 + x
or, 2x2 + x - 28 = 0
or, 2x2 + 8x - 7x - 28 = 0
or, 2x * (x + 4) - 7 (x + 4) = 0
or, (x + 4) * (2x - 7) = 0
or, 2x - 7 = 0
or, x = 7/2 = 3.5
Width = 3.5 m
Length = 3.5 * 2 + 1 = 8
