Question

Can someone plz help me solve this problem I need help plz someone help me!

Answer 1

Answer: 25 < P < 36

15/4 < w < 26/4

35/4 < L < 46/4

Explanation:

Perimeter is BETWEEN 25 and 36

25 < P < 36

Graph: O--------------O

25 36

Perimeter = 2L + 2w ; substitute L = w + 5

25 < 2(w + 5) + 2w < 36

25 < 2w + 10 + 2w < 36

25 < 4w + 10 < 36

15 < 4w < 26

`(15)/(4)` < w <
`(26)/(4)`

`3(3)/(4)` < w <
`6(1)/(2)`

Graph: O------------------------O

`3(3)/(4)`
`6(1)/(2)`

Perimeter = 2L + 2w ; L = w + 5 --> w = L - 5

25 < 2L + 2(L - 5) < 36

25 < 2L + 2L - 10 < 36

25 < 4L - 10 < 36

35 < 4L < 46

`(35)/(4)` < L <
`(46)/(4)`

`8(3)/(4)` < L <
`11(1)/(2)`

Graph: O------------------------O

`8(3)/(4)`
`11(1)/(2)`

Note: Make sure you use OPEN dots when graphing.