Question

Painting the cinema wall

The diagram shows the cross-section of a wall of a cinema.
It is to be painted.
10 m
5m
11 m
14 m
9m
7m
Work out the area that needs to be painted.
Paint costs £7 for a tin which covers 25 m².
How much will it cost to paint?
(You can only buy whole tins of paint!)

Answer 1

£21

Explanation:

To work out the area that needs to be painted, we need to calculate the sum of the given measurements:

10 m + 5 m + 11 m + 14 m + 9 m + 7 m = 56 m²

The total area that needs to be painted is 56 m².

Since one tin of paint covers 25 m², we need to determine the number of tins required to cover 56 m².

56 m² ÷ 25 m² = 2.24 tins

Since you can only buy whole tins of paint, you would need to purchase 3 tins of paint to cover the entire area.

The cost of one tin of paint is £7, so the total cost to paint would be:

3 tins * £7 = £21