Area of trampolines

Difficulty:
intermediate
Rating:
4-stars

GCSE Marks:
5-marks

GCSE Text:
At a trampoline park, there are 84 trampolines in total.  One quarter of them are rectangular, two thirds of them are square, and the rest are triangular.

a)  How many trampolines are there of each shape?

If the three shapes of trampolines have the following dimensions:

trampoline-area

b)  What is the total area of trampolines inside the trampoline park?

Suggestions:
A simple problem where students needs to calculate fractions of amounts. Whilst most can find a quarter of a number, some students may find ‘one’ third first and then double it, whilst others perform a fraction multiplication by putting the 84 ‘over 1’. Either method works.

Extension Ideas:
Teachers could extend the learning by considering:

  • Proving the ‘rest are triangular’ by performing fraction arithmetic on the other two given fractions. This will introduce/revise making a common denominator, and subtracting the answer from 1.
  • The manager is considering introducing circular trampolines which have the same bouncing area as the square. What would be the radius of this circular trampoline (rounded to 1 d.p.)?

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