Answer:
Width of Rectangle is 6 cm.
Length of Rectangle is 38 cm
Step-by-step explanation:
Given:
Area of Rectangle = [tex]228cm^2[/tex]
Perimeter of rectangle = 88 cm
Let width be x cm
[tex]\therefore[/tex] according to given data Length =[tex]5x+8[/tex]
Solution:
Formula for Perimeter of Rectangle = [tex]2(length+width)[/tex]
Substituting the above given data in the stated formula we get.
[tex]2(8+5x+x)=88[/tex]
Dividing both sides by 2 we get
[tex]\frac{2(8+6x)}{2}=\frac{88}{2}[/tex]
[tex]8+6x=44[/tex]
Subtracting both side by 8 we get.
[tex]8+6x-8=44-8[/tex]
[tex]6x=36[/tex]
Dividing both side by 6 we get.
[tex]\frac{6x}{6}=\frac{36}{6}[/tex]
[tex]\therefore x=6[/tex]
Width of the rectangle is 6 cm
Now length= [tex]8+5x=8 + 5\times6=8+30=38[/tex]
Length of the rectangle is 38 cm
