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3 years ago

TIME SHEET - ACTIVITY 1

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

8 0

time sheet 1:

dec 1 is 8 hours

dec 2 is 8.5 hours

dec 3, is 8.5 hours

dec 4 is 8.5 hours

dec 5 is 8. 5 hours

dec 6 is 4 hours

all together is 46 hours

so overtime is 6 hours

timesheet 2:

dec 9 is 8.5 hours

dec 10 is 8.5 hours

dec 11 is 5.5 hours

dec 12 is 9 hours

dec 13 is 10 hours

dec 14 is 7.5 hours

total hours is 49 hours

over time is 9 hours

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Step-by-step explanation:

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Let's assume width of rectangle be x m and length be 3 + 2x m respectively. To find the dimensions of the rectangle we will use the formula of Perimeter of rectangle

$\\ { \underline{ \boxed{ \pmb{ \sf{ \purple{Area _{(rectangle)} = Length × width}}}}}} \\ \\$

Substituting values in above formula:

$\\ \dashrightarrow \sf \: \: (3 + 2x)(x) = 54 \\$

$\dashrightarrow \sf \: \: 3x + 2x^2 = 54 \\$

$\dashrightarrow \sf \: \: - 54 + 3x + 2x^2 = 0 \\$

$\dashrightarrow \sf \: \: 2x^2 + 3x - 54 = 0\\$

$\dashrightarrow \sf \: \: 2x^2 + 12x - 9x - 54 = 0\:$

$\dashrightarrow \sf \: \: 2x(x + 6) -9(x + 6) = 0\\$

$\dashrightarrow \sf \: \: (2x -9)(x+6) = 0 \\$

$\sf{x=}{\sf{\dfrac{9}{2}}}{\sf{\: or\: -6}}$

$\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{\purple{ x = 4.5 }}}}}}$

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Length of rectangle = 3 + 2x = 3 + 2(4.5) = 12 m
Width of the rectangle = x = 4.5m

$\\ { \underline{ \pmb{ \frak{ \therefore Length \: and \: width \: of \: the \: rectangle \: is \:12 \: m \: and \: 4.5 \: m}}}} \\$

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