Respuesta :
Let the width be x.
Length = 3x
Perimeter = 40
2*(L + W) = 40
L + W = 20
3x + x = 20
4x = 20
x = 5
Hence,
Length = 15 m
Width = 5 m
Area = L*W = 15 * 5 = 75 sq. m
Length = 3x
Perimeter = 40
2*(L + W) = 40
L + W = 20
3x + x = 20
4x = 20
x = 5
Hence,
Length = 15 m
Width = 5 m
Area = L*W = 15 * 5 = 75 sq. m
Answer:
The area of the rectangle is 75 squared meters.
Step-by-step explanation:
Width of the rectangle = w
Length of the rectangle = l = 3w
Perimeter of the rectangle = P = 40 m
Perimeter of the rectangle = 2(l+w)
[tex]2(l+w)=40 m[/tex]
[tex]2(3w+w)=40 m[/tex]
[tex]8w=40 m[/tex]
[tex]w=\frac{40 m}{8}=5 m[/tex]
[tex]l=3w=3\times 5 m=15 m[/tex]
The area of the rectangle ,A= l × w
[tex]A = 5 m\times 15 m = 75 m^2[/tex]
The area of the rectangle is 75 squared meters.