Question

Krista's mom has told her she needs to make the pen ½ the size that she had planned (5 feet long by 4 ½ feet wide). What will the area be? What are two possible lengths and widths she could use?

Answer 1

1. area of new pen = 11
`(1)/(4)`
`ft^(2)`

2. i. 5 feet by 2
`(1)/(4)` feet

ii. 2 ½ feet by 4 ½ feet

Explanation:

The size of the pen as planned = 5 ft long by 4 ½ ft wide

Area of the pen = length x width

= 5 x 4 ½

= 5 x
`(9)/(2)`

Area of the pen =
`(45)/(2)`

= 22 ½
`ft^(2)`

But, Krista has to make the pen ½ the size of planned. So that;

area of new pen = ½ x 22 ½

= ½ x
`(45)/(2)`

=
`(45)/(4)`

= 11
`(1)/(4)`

area of new pen = 11
`(1)/(4)`
`ft^(2)`

The area of the new pen would be 11
`(1)/(4)`
`ft^(2)`.

The possible values she could use are:

i. 5 feet by 2
`(1)/(4)` feet

ii. 2 ½ feet by 4 ½ feet