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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

  1. 1Halve the perimeter first: is the sum of the two dimensions, and the area is their product.
  2. 2Given the perimeter and the area, and are the two roots of .
  3. 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

  1. 1
    cm
  2. 2
    cm

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.

Also known as

area of a rectangle, perimeter of a rectangle, 2(l+b), length times breadth, diagonal of a rectangle

Appears in past papers

2020 (II)

2019 (II)

2019 (I)

2018 (I)

2017 (II)

2017 (I)