Question

Karen is painting the floor and four walls ofa basement. The basement is 12.0 m long,4.0 m wide, and 2.5 m high. Paint comes in4 L cans. One litre of paint covers 10 m?.a)What area does Karen need to paint?b) How many cans of paint does Karenneed?

Answer 1

Given

Karen is painting the floor and four walls of a basement.

The basement is 12.0 m long, 4.0 m wide, and 2.5 m high.

Paint comes in 4 L cans.

One litre of paint covers 10 m.

To find:

a) What area does Karen need to paint?

b) How many cans of paint does Karen need?

Step-by-step explanation:

It s given that,

Karen is painting the floor and four walls of a basement.

The basement is 12.0 m long, 4.0 m wide, and 2.5 m high.

Paint comes in 4 L cans.

One litre of paint covers 10 m.

That implies,

a)

The area Karen needed to paint is,

`\begin{gathered} SA=lw+2lh+2wh \\ =12*4+2*12*2.5+2*4*2.5 \\ =48+60+20 \\ =128m^2 \end{gathered}`

Hence, the area Karen needed to paint is 128m².

b) The number of cans of paint Karen needed is,

`\begin{gathered} One\text{ }litre\text{ }of\text{ }paint\text{ }covers\text{ }=10m^2 \\ One\text{ }can\text{ }of\text{ }paint\text{ }covers=\text{ }4L\text{ }of\text{ }paint\text{ }covers \\ =4*1L\text{ }of\text{ }paint\text{ }covers \\ =4*10 \\ =40m^2 \end{gathered}`

Therefore,

`\begin{gathered} Total\text{ }area=128m^2 \\ n*1\text{ }can\text{ }of\text{ }paint\text{ }covers=128m^2 \\ n*40=128 \\ n=(128)/(40) \\ n=(32)/(10) \\ n=3.2 \end{gathered}`

Hence, Karen needs a little more than 3 cans. So the answer is 4 Cans.