Question

Can you please help me out with a question

Answer 1

Ok here we have a problem with two possible outcomes: picking the shaded area or not picking it. To calculate the probability we simply have to calculate the quotient:

`100\cdot\frac{\text{ shaded area}}{\text{ total area}}`

The total area is simple because its just a rectangle and its area is given by the product of one of its long sides with one of its short sides:

`18\cdot11=198`

Calculating the shaded area is a little bit more tricky but it's also simple. We are gonna calculate the non shaded area and substract it to the total area. The non saheded area is composed by two rectangles so its area is:

`\text{non shaded area}=5\cdot4+5\cdot2=20+10=30`

Then following what I stated before:

`\text{shaded area}=198-30=168`

Finally we can use the first equation I wrote and calculate the probability of picking the shaded area:

`100\cdot\frac{\text{ shaded area}}{\text{ total area}}=100\cdot(168)/(198)=84.84`

So the probability rounded to the nearest percent is 85%.