Given:
Length of the rectangle = x + 21
Width of the rectangle = 5
To find:
Perimeter and area of the rectangle
Solution:
Perimeter =
Perimeter units
Area = length × width
Area square units
Substitute perimeter is 100 and find the value of x:
Subtract 52 from both sides.
Divide by 2 on both sides, we get
x = 24
Substitute area is 200 and find the value of x:
Subtract 105 from both sides.
Divide by 5 on both sides, we get
x = 19
If the perimeter is 100, then the value of x is 24.
If the area is 200, then the value of x is 19.