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independent Activity 3 Directions: Write an equation for each problem then solve. The length of rectangle is twice its width. If the perimeter is 72cm, what is its length? What is its width? Use m to represent the width of the rectangle. Equation Answer: 2. The quotient of a number and 8 is decreased by 5. The result is 2. What is the number? Use n to represent the number. Equation: Answer​

Independent Activity 3 Directions Write An Equation For Each Problem Then Solve The Length Of Rectangle Is Twice Its Width If The Perimeter Is 72cm What Is Its class=

Sagot :

Answer w/ explanation:

  • The width is represented by the variable m.

1.

[tex]l = 2m[/tex]

The formula for the perimeter of a rectangle is P=2L+2W. We need to substitute L by 2W to obtain the same variable in the equation.

EQUATION:

[tex]2(2m) + 2m = 72[/tex]

ANSWER:

[tex]m = 12cm[/tex]

[tex]l = 24cm[/tex]

  • The width of the rectangle is 12 cm while the legnth is 24 cm.

2.

Let n be the number.

EQUATION:

[tex] \frac{ n}{8} - 5 = 2[/tex]

ANSWER:

[tex]n = 56[/tex]

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