Question

I can’t figure out this problem please help me

Answer 1

95 6/7

Explanation:

The perimeter can be found by adding the length and width together and then multiplying the sum by 2.

Perimeter = 2(L + W)

Where L is the length and W is the width.

So, using the given measurements:

Perimeter = 2(33 5/7+ 14 3/14) = 94 26/14

94 26/14 -> 95 12/14 -> 95 6/7

Answer 2

The perimeter is
`95(6)/(7)` inches.

Explanation:

The formula for the perimeter of a rectangle is

`P=2L+2W`

We are given the length and the width. Lets evaluate the perimeter.

First lets convert the length and width to an improper fraction.

Length:
`33(5)/(7)`

To write 33 as a fraction with a common denominator, multiply by
`(7)/(7)`. Then simplify.

`(33*7)/(7) +(5)/(7)`

`(231)/(7) +(5)/(7)`

`(231+5)/(7)`

`(236)/(7)`

Width:

To write 14 as a fraction with a common denominator, multiply by
`(14)/(14)`. Then simplify.

`(14*14)/(14) +(3)/(14)`

`(196)/(14) +(3)/(14)`

`(196+3)/(14)`

`(199)/(14)`

Lets enter the 2 fractions into the perimeter equation.

`P=(2*(236)/(7) )+(2*(199)/(14) )`

Simplify each term.

`P=(2*236)/(7) +2*(199)/(14)`

`P=(472)/(7) +2*(199)/(14)`

Factor 2 out of 14.

`P=(472)/(7) +2*(199)/(2(7))`

Cancel the common factor of 2.

`P=(472)/(7) +(199)/(7)`

Combine the numerators over the common denominator.

`P=(472+199)/(7)`

`P=(671)/(7)`

`P=95(6)/(7)`