Find the value of x when:
(a). in a rectangle, 1 = 3x, b = x and perimeter = 48 units
(b). in a triangle, each side = x -2 and perimeter = 15 units
(c). in a rectangle, four sides are x - 2, 2x - 3, x - 2, 2x - 3 and perimeter = 8 units
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Answers
Answer:
a) GIVEN:
l = 3x
b = x
Perimeter = 48
perimeter of rectangle = 2 (l + b)
48 = 2 (3x + x)
48 = 2 (4x)
48 = 8x
x = 48/8
x = 6
b)GIVEN:
each side = x -2
perimeter of triangle=15
perimeter of triangle = a + b + c (sum of all 3 sides)
15 = x-2 + x-2 + x - 2
15 = 3x - 6
15 + 6 = 3x
21 = 3x
x = 21/3
x = 7
c ) GIVEN:
l = 2x - 3
b = x - 2
perimeter of rectangle = 8
perimeter of rectangle = 2( l + b )
8 = 2 (2x-3 + x - 2)
8 = 2 (3x - 5)
8 = 6x - 10
8 + 10 = 6x
18 = 6x
x = 18/6
x = 3
Answer:
a. x = 6
b. x = 7
c. x = 3
Step-by-step explanation:
a) l = 3x
b = x
Perimeter = 48
perimeter of rectangle = 2 (l + b)
48 = 2 (3x + x)
48 = 2 (4x)
48 = 8x
x = 48/8
x = 6
b) each side = x -2
perimeter of triangle=15
perimeter of triangle = a + b + c (sum of all 3 sides)
15 = x-2 + x-2 + x - 2
15 = 3x - 6
15 + 6 = 3x
21 = 3x
x = 21/3
x = 7
c ) l = 2x - 3
b = x - 2
perimeter of rectangle = 8
perimeter of rectangle = 2( l + b )
8 = 2 (2x-3 + x - 2)
8 = 2 (3x - 5)
8 = 6x - 10
8 + 10 = 6x
18 = 6x
x = 18/6
x = 3