Answer: 24, 33
2.5, 4.75
9.5, 11.75
Step-by-step explanation:
It is given that the PERIMETER is BETWEEN 24 and 33
--> 24 < P < 33
Graph: O------------------O
24 33
Perimeter = 2w + 2L
It is given that L = w + 7
Substitute P with 2w + 2L and substitute L with w + 7
24 < 2w + 2(w + 7) < 33
24 < 2w + 2w + 14 < 33
10 < 4w < 19
--> 2.5 < w < 4.75
Graph: O--------------------------O
2.5 4.75
Since L = w + 7, then w = L - 7
Substitute P with 2w + 2L and substitute w with L - 7
24 < 2(L - 7) + 2L < 33
24 < 2L + 2L - 14 < 33
38 < 4L < 47
--> 9.5 < L < 11.75
Graph: O------------------------O
9.5 11.75
NOTE: Make sure you use OPEN dots on the graphs.
