The perimeter of a rectangle is 100 feet. The length can be represented by (6x - 2) feet and the width can be represented by (x + 3) feet. What is the value of x?
2006-11-17 03:43:26 · 6 answers · asked by ♥ kellycakes ♥ 1 in Science & Mathematics ➔ Mathematics
ok so 2 length sides (6x-2) and 2 width sides(x+3), all added together, make the perimeter (100):
2(6x - 2) + 2(x+3) = 100
Distribute the 2s through the parenthesis:
(12x - 4) + (2x + 6) = 100
Combine like terms:
14x + 2 = 100
Subtract 2 from each side:
14x = 98
Divide each side by 14:
x = 7
2006-11-17 03:45:54 · answer #1 · answered by pohustla 2 · 0⤊ 0⤋
6x - 2 = Length
x + 3 = Width
100 = The perimeter
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Perimeter formula
P = 2L + 2W
100 = 2(6x - 2) + 2(x + 3)
100 = 12x - 4 + 2x + 6
100 = 14x + 2
100 - 2 = 14x + 2 - 2
98 = 14x
98 / 14 = 14x / 14
7 = x
The answer is x = 7
Insert the x value into the equation
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Check
P - 2L + 2W
100 = 2(6x - 2) + 2(x + 3)
100 = 2[6(7) - 2] + 2(7 + 3)
100 = 2[42 - 2] + 2(10)
100 = 2[40] + 20
100 = 80 + 20
100 = 100
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The value of x = 7
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2006-11-17 14:18:33 · answer #2 · answered by SAMUEL D 7 · 0⤊ 0⤋
100= 2(6x-2) + 2(x+3)
100 = 14x + 2
98 = 14x
x = 7
2006-11-17 11:47:34 · answer #3 · answered by Old Mad One 2 · 0⤊ 0⤋
2(6x-2)+2(x+3)=100
12x-4+2x+6 = 100
14x+2=100
14x = 98
x=7
2006-11-17 11:50:35 · answer #4 · answered by Marie 2 · 0⤊ 0⤋
100 (or P)= 2xL + 2xW
2*(6x-2) + 2*(x+3)=100
12x-4+2x+6=100
14x+2=100
14x=98
x=7
width is 10
length is 40
2006-11-17 12:34:50 · answer #5 · answered by math_teacher_02 2 · 0⤊ 0⤋
2[6x-2+x+3]=100
7x+1=100/2=50
7x=49
x=49/7=7
2006-11-17 11:47:58 · answer #6 · answered by raj 7 · 0⤊ 0⤋