Area & Perimeter of 2D Shapes

25 min
0/4 practice checks

Perimeter is the total distance around a shape (a length, in cm or m). Area is the space inside it (in square units, cm² or m²).

  • Rectangle: area =l×w= l \times w, perimeter =2(l+w)= 2(l + w).
  • Triangle: area =12×b×h= \tfrac{1}{2} \times b \times h.
  • Circle: area =πr2= \pi r^2, circumference =2πr= 2\pi r.

For circle calculations at this level, use π227\pi \approx \dfrac{22}{7} or 3.143.14. The radius rr is the distance from the centre to the edge.

Worked example. A rectangle is 88 cm by 55 cm. Area =8×5=40= 8 \times 5 = 40 cm². Perimeter =2(8+5)=26= 2(8 + 5) = 26 cm.

A rectangle measures 88 cm by 55 cm. Find its area, in cm².

Which formula gives the perimeter of a rectangle?

A triangle has base 1010 cm and height 66 cm. Find its area, in cm².

A circle has radius 77 cm. Find its area in cm², using π=227\pi = \dfrac{22}{7}.