Area and perimeter: word problems

๐Ÿ“ Perimeter

  • Perimeter is the distance around a shape.
  • Formula for rectangle:

P = 2 ร— (length+width)

  • Formula for square:

P = 4 ร— side

  • Tip: Walk around the shape in your mind ๐Ÿ‘ฃ to find the perimeter.

๐ŸŸฆ Area

  • Area is the space inside a shape.
  • Formula for rectangle:

A = lengthร—width

  • Formula for square:

A = sideร—side

  • Tip: Imagine filling the shape with tiny squares ๐ŸŸฉ to find the area.

๐Ÿ“ Steps to Solve Word Problems

  • Read carefully ๐Ÿ“– โ€“ Identify length, width, or side.
  • Decide whether you need area, perimeter, or both.
  • Use the correct formula ๐Ÿงฎ.
  • Check your units โ€“ cmยฒ for area, cm for perimeter.
  • Draw a diagram if needed โœ๏ธ โ€“ it helps visualize the problem.

๐ŸŸ  Common Word Problem Examples

  • Finding the fence needed around a garden ๐ŸŒป โ†’ perimeter.
  • Finding the floor tiles required for a room ๐ŸŸซ โ†’ area.
  • Combining shapes โ†’ add areas or perimeters carefully โž•.

โšก Tips & Tricks

  • Convert units first if needed (m โ†’ cm, cm โ†’ m).
  • Break complex shapes into rectangles, squares, or triangles.
  • Always double-check your calculations โœ”๏ธ.
  • Use labels on your diagram โ€“ write length and width โœ๏ธ.

๐ŸŽจ Fun Emoji Hint

  • ๐ŸŒณ Garden โ†’ Perimeter (Fence)
  • ๐Ÿงฑ Floor โ†’ Area (Tiles)
  • ๐ŸŸ Stadium โ†’ Perimeter (Running track) + Area (Field)

Learn with an example

โ€‹___ metres

A square has 4 equal sides.

Divide the perimeter by 4 to find the length of each side:

28 รท 4 = 7

Each side is 7 metres long.

โ€‹ ______ metres

A square has 4 equal sides.

Divide the perimeter by 4 to find the length of each side:

60 รท 4 = 15

Each side is 15 metres long.

โ€‹ ______ square metres

Multiply the length times the width:

3 ร— 5 = 15

The area is 15 square metres.

Let’s practice!๐Ÿ–Š๏ธ