Question

Please answer this ASAP!!

Answer 1

Answer: The cost to buy all the paint he needs =
`\pounds \ 176.70\ .`

Explanation:

Formula: Area of trapezium =
`(1)/(2)(a+b)h`, where a and b are the parallel sides and h is the height.

From the given figure of trapezium, we have

a = 10 m

b = 16 m

h = 7.6 m

Then, area of trapezium floor =
`(1)/(2)(10+16)(7.6)=(1)/(2)(26)(7.6)=98.8\ m^2`

Also, 1 litre paint is required to paint and area of
`1.9\ m^2`.

Then, the amount of paint required to paint
`98.8\ m^2` area =
`(98.8\ m^2)/(1.9\ m^2)`

`= 52` litres

Since cost if 5 litres of paint =
`\pounds\ 16.99`

then cost of 1 liter paint =
`\pounds (16.99)/( 5)=\pounds 3.398`

Then, cost of 52 litres of paint =
`52*3.398=\pounds \ 176.696\approx\pounds\ 176.70`

Hence, the cost to buy all the paint he needs =
`\pounds \ 176.70\ .`