Question

A floor has a shape of a trapezium Gary is going to paint the floor each 5 litre tin of paint cost 21.99 1 litre of paint covers an area of 2.5m

Answer 1

Explanation:

step 1 : finding the area of a floor using trapezius area formula

A=
`((10+14)*6)/(2) = (24*6)/(2) =72 m^(2) \\`

step 2 : the problem said 1 litre of paint convers an area of 2.5 m^2, so let's calculate how many liters of paint are needed to paint the floor

`(72 m^2)/(2.5 m^2) = 28.8 litre\\`

so we need 28.8 litre to paint the floor

step 3 : Each tin is 5 litre of paint so let's calculate how many tins do we need

n=
`(28.8)/(5) = 5.76 \\`

we can't by 5.76 tins so it's 6 tins

step 4 : Each tin costs 21.99 and now we calculate how much 6 tins cost for us

cost = 6 × 21.99 = 131.94

step 5 : Gary has a budget of 150 and the total cost is 131.94. So, Gary has enough money to buy all the paint he needs.