Question

Nadia is making a rectangular moisac out of 1/2 -inch by 1/2 -inch tiles. The rectangle is 12 inches long and 3 1/2 inches wide. How many tiles will nadia use to cover the rectangle completely

Answer 1

168

Explanation:

GIVEN: Nadia is making a rectangular moisac out of
`(1)/(2)` inch by
`(1)/(2)` inch tiles. The rectangle is
`12` inches long and
`3(1)/(2)` inches wide.

TO FIND: How many tiles will Nadia use to cover the rectangle completely.

SOLUTION:

Area of rectangular moisac
`=\text{length}*\text{width}`

`=12*3(1)/(2)=(12*7)/(2)`

`=42 \text{ inch}^2`

Area of one tile
`=\text{side}^2`

`=(1)/(2)*(1)/(2)=(1)/(4)\text{ inch}^2`

According to question

Total tiles required
`=\frac{\text{Area of rectangular moisac}}{\text{Area of one tile}}`

`=(42)/((1)/(4))=42*4`

`=168` tiles

Hence, 168 tiles are required to completely cover the rectangular moisac.