Question

the area of a Blackboard is 1 1/3 square yards posters area is 8/9 square yards find the unit rate and explain in words with unit rate means in the context of this problem is in more than one unit that can be calculated how do you know

Answer 1

Unit rate of area of blackboard to area of poster =
`(8)/(33)`

Unit rate of area of Poster to area of blackboard = =
`(33)/(8)`

Explanation:

Rates help us to evaluate or compare two different quantities.

Unit rate help us to compare or know that how the units of the quantity 1 is related to units of quantity 2.

We are given that:

Area of Blackboard =
`(11)/(3)`

Area of Poster =
`(8)/(9)`

Unit rate of area of blackboard to area of poster: It mean that how does unit area of blackboard is related to or corresponds to area of poster

`= \frac{\text{Area of Poster}}{\text{Area of Blackboard}}`
`= ((8)/(9) )/((11)/(3) )`

=
`(8)/(33)`

Thus, 1 unit area of blackboard corresponds to
`(8)/(33)\text{ area of poster}`

Unit rate of area of Poster to area of blackboard: It mean that how does unit area of poster is related to or corresponds to area of blackboard.

`= \frac{\text{Area of Blackboard}}{\text{Area of Poster}}`
`= ((11)/(3) )/((8)/(9) )`

=
`(33)/(8)`

Thus, 1 unit area of Poster corresponds to
`(33)/(8)\text{ area of blackboard}`