A rectangle ABCD is 20 cm long and 10 cm wide. There is a border towards the inner side of the rectangle that is 2 cm wide. Find the area of the border?
A rectangle ABCD is 20 cm long and 10 cm wide. There is a border towards the inner side of the rectangle that is 2 cm wide. Find the area of the border?
Explanation
To find the area of the border, let's first find the area of the entire rectangle and the area of the inner rectangle.
Area of entire rectangle = Length × Width
= 20 × 10
= 200 cm²
The inner rectangle's dimensions are:
Length = 20 - 2 × 2 = 16 cm
Width = 10 - 2 × 2 = 6 cm
Area of inner rectangle = 16 × 6
= 96 cm²
Area of border = Area of entire rectangle - Area of inner rectangle
= 200 - 96
= 104 cm²