The perimeter P of a rectangle is twice the sum of its sides a and b. A) What is the semi-perimeter P of a rectangle?
The perimeter P of a rectangle is twice the sum of its sides a and b. A) What is the semi-perimeter P of a rectangle? b) How to find the side of a rectangle, knowing the semi-perimeter and its other side? c) How to find the side of a rectangle, knowing the perimeter and its other side? d) What is the perimeter of a square with side a?
a) The semi-perimeter of a rectangle is equal to the sum of its length and width. Also, a half-perimeter is equal to half of the perimeter.
p = a + b, where p is a semi-perimeter, a is length, b is width.
b) To find the unknown side, you need to subtract the known side from the semiperimeter.
a = p – b.
b = p – a.
c) To find the unknown side, you need to divide the perimeter by 2 and subtract the known side
a = (P: 2) – b, where P is the perimeter.
b = (P: 2) – a.
d) There are 4 equal sides in the square.
P = 4a, where P is the perimeter of the square, and is the side of the square.