Mathematics Specification A - 4MA1 PearsonEdexcel

Mensuration Of 2D Shapes

Akopọ

Mensuration is the branch of mathematics concerned with measuring lengths, areas and volumes. In two dimensions you need to find perimeters (the distance around a shape) and areas (the space inside a shape) for triangles, rectangles, parallelograms, trapezia, circles, semicircles and compound shapes built from these.

This topic also requires you to convert fluently between metric units for both length and area. Higher-tier students extend circle work to arc lengths and sector areas. These skills appear across both papers and connect directly to 3D mensuration and trigonometry.

Awọn Afojusun

  1. Convert measurements within the metric system to include linear and area units
  2. Find the perimeter of shapes made from triangles and rectangles
  3. Find the area of simple shapes using the formulae for the areas of triangles and rectangles
  4. Find the area of parallelograms and trapezia
  5. Find circumferences and areas of circles using relevant formulae; find perimeters and areas of semicircles
  6. [Higher] Find perimeters and areas of sectors of circles

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Akọ̀wé Ẹ̀kọ́

Every physical object has surfaces that can be measured. The glass in a window, the turf on a football pitch, the fabric in a sail: each demands a reliable way to calculate how much material is needed. Mensuration gives you those tools.

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  1. The area of a triangle with base 10 cm and height 6 cm is: A) 60 cm^2 B) 30 cm^2 C) 16 cm^2 D) 36 cm^2 Answer: B
  2. How many cm^2 are in 1 m^2? A) 100 B) 1000 C) 10 000 D) 100 000 Answer: C
  3. The circumference of a circle with diameter 10 cm is: A) 10pi cm B) 25pi cm C) 100pi cm D) 5pi cm Answer: A
  4. A trapezium has parallel sides 8 cm and 12 cm with height 5 cm. Its area is: A) 40 cm^2 B) 50 cm^2 C) 60 cm^2 D) 100 cm^2 Answer: B
  5. The perimeter of a semicircle with diameter 14 cm is closest to: A) 22.0 cm B) 36.0 cm C) 44.0 cm D) 58.0 cm Answer: B

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