Question

The rectangle shown is composed of smaller equally-sized squares. The shaded section has an area of 3/16 square inches. Use a unit rate to determine the area of the larger rectangle.​

Answer 1

Area of larger rectangle = 1½ = 1.5 in²

Explanation:

The section consists of 3 small squares that has an area =
`(3)/(16) in^2`.

Area of 3 small squares =
`(3)/(16) in^2`

Area of 1 small square =
`(3)/(16)` ÷ 3

=
`(3)/(16) * (1)/(3)`

=
`(3*1)/(16*3) = (1)/(16)`

The larger rectangle has 24 small squares of equal sizes

Area of larger rectangle = area of 1 small square * 24

=
`(1)/(16) * 24`

`= (24)/(16) = (3)/(2)`

Area of larger rectangle = 1½ = 1.5 in²