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The length of a rectangle is 5 inches more than three times the width. The perimeter is 98 inches . Find the Length and width.
L=
W=
The length of a rectangle is 5 inches more than the width. The perimeter is 46 inches, Find the Length and with.
L=
W=
3 Answers
- Jun AgrudaLv 71 decade agoFavorite Answer
Length—x:
2(x + x - 5) = 98
2x - 5 = 49
2x = 54
x = 27
Width:
= 27 - 5
= 22
Answer: length, 27 inches; width, 22 inches
-----------
Length—x:
2(x + x - 5) = 46
2x - 5 = 23
2x = 28
x = 14
Width:
= 14 - 5
= 9
Answer: length, 14; width, 9
- 1 decade ago
1) L = 3W + 5
98 = 2L + 2W
So substitute,
98 = 2 (3W + 5) + 2W
98 = 6W + 10 + 2W
98 = 8W + 10
88 = 8W
11 = W
So, W = 11, L = 38
2) L = W + 5
46 = 2L + 2W
So, substitute:
46 = 2(W + 5) + 2W
46 = 2W + 10 + 2W
46 = 4W +10
36 = 4W
9 = W
So, W = 9 and L = 14
- William BLv 71 decade ago
2w +2(3w+5) =98
8w +10=98
8w=88
w=11, l=3(11) +5=38
2w +2(w+5) =46
4w +10=46
4w=36
w=9, l=14
