Length = 4 feet
Breadth = 3 feet
a. Find the perimeter of the rectangle.
Perimeter of the rectangle = 2 ( L + W )
= 2 ( 4 + 3 ) = 2 X 7 = 14 feet
b. Find the area of the rectangle.
Area of the rectangle = L X B = 4 X 3 = 12 feet^2
c. Suppose the length and width of the rectangle are doubled.
What effect would this have on the perimeter? the area? Justify your answer. .
New Length = 2 x 4 feet = 8 feet
New Breadth = 2 x 3 feet = 6 feet
New Perimeter of the New Rectangle = 2 ( 8 + 6 ) = 2 x 14 = 28 feet
The New perimeter of the Rectangle is double the original rectangle.
New Area of the New Rectangle = 8 feet x 6 feet = 48 feet^2
The New Area of the Rectangle is four times the original rectangle.
d. Suppose the length and width of the rectangle are halved. What effect does this have on the perimeter? the area?
New Length = 1/2 x 4 feet = 2 feet
New Breadth = 1/2 x 3 feet = 3/2 feet
Perimeter of New Rectangle = 2 ( 2 + 3/2) = 2 x ( 4/2 + 3/2 ) =
= 2 x 7/2 = 7 feet
The New perimeter of the Rectangle is Half the original rectangle.
New Length = 1/2 x 4 feet = 2 feet
New Breadth = 1/2 x 3 feet = 3/2 feet
Area of New Rectangle = L X B = 2 X 3/2 = 3 feet ^2
The New Area of the Rectangle is 1/ 16 times the original rectangle.