The perimeter of a rectangular garden is 50 meters. The length of the rectangle is 5 m less than twice the width. Which of the choices represents the width?
Answers
Answered by
0
Width
= 10 meters
Length
= 15 meters
Explanation:
Given:
Width
=
x
Length
=
2
x
−
5
Perimeter
=
50
Perimeter
=
2
×
length
+
2
×
width
Substitute:
50
=
2
(
2
x
−
5
)
+
2
(
x
)
Simplify:
50
=
4
x
−
10
+
2
x
50
=
6
x
−
10
60
=
6
x
x
=
10
Substitute (FINALLY)
Width:
x
=
10
So width
= 10 meters
Length:
2
x
−
5
=
2
(
10
)
−
5
=
20
−
5
=
15
So length
= 15 meters
= 10 meters
Length
= 15 meters
Explanation:
Given:
Width
=
x
Length
=
2
x
−
5
Perimeter
=
50
Perimeter
=
2
×
length
+
2
×
width
Substitute:
50
=
2
(
2
x
−
5
)
+
2
(
x
)
Simplify:
50
=
4
x
−
10
+
2
x
50
=
6
x
−
10
60
=
6
x
x
=
10
Substitute (FINALLY)
Width:
x
=
10
So width
= 10 meters
Length:
2
x
−
5
=
2
(
10
)
−
5
=
20
−
5
=
15
So length
= 15 meters
Answered by
0
Answer:
20
Step-by-step explanation:
Perimeter of a rectangle = 2( length + breadth )
: 2( l+b) = 50
: 2(5+x ) / 2 = 50 /2
: 5+ x = 25
: 25-5 = x
w = 20
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