Respuesta :
the length would be 26 and the width would be 16.
L = length
w = width
p = perimeter
p=72
2L+2w=72
L=w+4
2(w+4) + 2w = 72
2w + 8 + 2w = 72
4w = 64
w = 16
2L + 2(16) = 72
2L + 32 = 72
2L = 52
L = 26
w = 16
L = 26
L = length
w = width
p = perimeter
p=72
2L+2w=72
L=w+4
2(w+4) + 2w = 72
2w + 8 + 2w = 72
4w = 64
w = 16
2L + 2(16) = 72
2L + 32 = 72
2L = 52
L = 26
w = 16
L = 26
Answer:
Length is 20 meters and width is 16 meters.
Step-by-step explanation:
Given: Perimeter of parallelogram is 72 meters.
Width of the parallelogram is 4 meters less than its length.
To find: Length and width of the parallelogram.
Solution: Let the length of the parallelogram be x meters. So, width of the parallelogram is [tex]x-4[/tex] meters.
As per question,
[tex]x+x+x-4+x-4=72[/tex]
[tex]4x-8=72[/tex]
[tex]4x=72+8[/tex]
[tex]4x=80[/tex]
[tex]x=\frac{80}{4}[/tex]
[tex]x=20[/tex]
Hence, length of the parallelogram is 20 meters, and width of the parallelogram is [tex]20-4=16[/tex] meters.