The length and the width of the given rectangle are 73 yards and 36 yards.
It is given that the length of a rectangle is 1 yard more than twice the width.
The perimeter of the rectangle is 218 yards.
We are to find the length and width of the given rectangle.
<h3>What is rectangle?</h3>
A rectangle is a quadrilateral with four right angles.
The area of a rectangle is given by:
Length x width
The perimeter of a rectangle is given by:
= Length + Length + width + width
= 2 ( length + width ).
The length of a rectangle is 1 yard more than twice the width.
we can write this as:
Length = 1 yard + 2 width -------------------(1)
The perimeter is 218 yards.
We can write it as:
2 ( length + width ) = 218 yards ---------------(2)
Substituting (1) in (2).
we get,
2 ( 1 yard + 2 width + width ) = 218 yards
2 ( 1 yard + 3 width ) = 218 yards
2 x 1 yards + 2 x 3 width = 218 yards
2 yards + 6 width = 218 yards
6 width = 218 yards - 2 yards
6 width = 216 yards
Width = 216 / 6 yards
Width = 36 yards ------------------------(3)
Putting (3) in (1) we get,
Length = 1 yard + 2 width
Length = 1 yard + 2 x 36 yards
Length = 1 yard + 72 yards
Length = 73 yards
Thus, the length and the width of the given rectangle are 73 yards and 36 yards.
Learn more about rectangles here:
brainly.com/question/15019502
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