Formula
Perimeter and area of a rectangle
Mensuration • Plane Figures • Quadrilateral
Formula
A rectangle of length and breadth has perimeter , area and diagonal .
How to use it
- 1Halve the perimeter first: is the sum of the two dimensions, and the area is their product.
- 2Given the perimeter and the area, and are the two roots of .
- 3Scaling both dimensions by a factor scales the perimeter by and the area by .
Worked example
A rectangle is cm long and cm broad. Find its perimeter and its area.
Step-by-step
- 1cm
- 2cm
Answer
cm and cm
Watch out
Perimeter and area do not determine each other: many rectangles share a perimeter, and the square is the one of largest area among them. Watch the units — the perimeter is a length, the area a squared length.