Question

The diagram shows a floor in the shape of a trapezium.
10 m
Tim is going to paint the floor.
Each 5 litre tin of paint costs £16.99 and 1
litre of paint covers an area of 1.9 m(squared)
How much would it cost to buy all the paint
he needs?
You must show how you get your answer.
Total marks: 5
​

Answer 1

Answer:

£186.89

Step-by-step explanation:

-The area of the trapezium can be calculated as follows:

$A=\frac{1}{2}(a+b)h\\\\a||b \ dimensions\\\\\therefore A=\frac{1}{2}(16+10)\times 7.6\\\\=98.8\ m^2$

-Given that 1 litre of paint covers an area of 1.9 sq m, we divide the area of the trapezium by this and multiply by the price per liter to get total cost:

$Paint\ Used=\frac{Area}{Paint/m^2}\\\\=\frac{98.8}{1.9}\\\\=52\ litres$

-We are given that each 5l  tin of paint costs £16.99 . We therefore divide the paint used by 5 and multiply by £16.99:

$=\frac{52}{5}\\=10.4-.>11 \ tins\\\\Cost=11\times 16.99\\\\=\£186.89$

Hence, it will cost £186.89 to buy all the paint

*Paint is only bought in 5l tins. Hence, any fractional bit will necessitate the purchase of the whole 5l tin