The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 28 meters and its length is 2 meters more than twice it’s width.
What is it’s Length ?
2 answers:
The perimeter of the rectangle
=
28
meters.
Let the width be denoted as
x
,
The length
=
2
+
2
×
(
x
)
=
2
+
2
x
(length is 2 meters more than twice the width)
The formula for perimeter of a rectangle is :
perimeter =
2
×
( width + length )
28
=
2
×
(
x
+
2
+
2
x
)
28
=
2
×
(
3
x
+
2
)
28
=
2
×
(
3
x
)
+
2
×
(
2
)
28
=
6
x
+
4
6
x
=
28
−
4
6
x
=
24
x
=
24
6
The width
x
=
4
meters.
The lenght
2
+
2
x
=
2
+
2
×
4
=
2
+
8
=
10
meters.
The length is 9 meters long.
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