Answer : The width and length of rectangle is, 4 cm and 26 cm respectively.
Explanation :
Let the length of rectangle be, 'x' and width of rectangle be, 'y'.
The length of a rectangle is 2 cm less than 7 times the width. The equation will be:
[tex]x=7y-2[/tex] .............(1)
The perimeter of rectangle is 60 cm. The equation will be:
[tex]2(x+y)=60[/tex]
[tex](x+y)=30[/tex] .............(2)
Now put the value of 'x' from equation 1 to 2, we get:
[tex]7y-2+y=30[/tex]
[tex]8y-2=30[/tex]
[tex]8y=32[/tex]
[tex]y=4[/tex]
Now put the value 'y' in equation 1, we get:
[tex]x=7(4)-2[/tex]
[tex]x=28-2[/tex]
[tex]x=26[/tex]
Thus, the width and length of rectangle is, 4 cm and 26 cm respectively.
