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B. Solve the following problems. Write your solution and answer. Answer must be stated in a sentence form.

1. You just purchased a square rug that is 9 inches long. What is the area of the rug?

2.the area of the square land is 196 m². What is the length of the side of the land?​


Sagot :

✏️SQUARES

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••} [/tex]

[tex] \underline{\mathbb{DIRECTIONS}:} [/tex]

  • Solve the following problems. Write your solution and answer. Answer must be stated in a sentence form.

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••} [/tex]

[tex] \underline{\mathbb{PROBLEMS}:} [/tex]

  • #1: You just purchased a square rug that is 9 inches long. What is the area of the rug?

  • #2: The area of the square land is 196 m². What is the length of the side of the land?

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••} [/tex]

[tex] \underline{\mathbb{ANSWERS}:} [/tex]

  • #1: The area of the rug is 81 in²

  • #2: The side of the land is 14 meters long

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••} [/tex]

[tex] \underline{\mathbb{SOLUTIONS}:} [/tex]

#1:

» Use the formula on how to find the area of the square in which [tex] A [/tex] is the area and [tex] s [/tex] is the side of the square.

[tex] \begin{align} & \bold{Formula:} \\ & \boxed{A = s^2} \end{align} [/tex]

  • [tex] A = (9\,in)^2 [/tex]

  • [tex] A = 81 \,in^2 [/tex]

[tex] \therefore [/tex] The area of the rug is 81 in²

[tex] \: [/tex]

#2:

» Use the formula on how to find the area of the square in which [tex] A [/tex] is the area and [tex] s [/tex] is the side of the square.

[tex] \begin{align} & \bold{Formula:} \\ & \boxed{A = s^2} \end{align} [/tex]

  • [tex] 196 \, m^2 = s^2 [/tex]

  • [tex] \sqrt{196 \, m^2} = \sqrt{s^2} [/tex]

  • [tex] 14 \, m = s [/tex]

[tex] \therefore [/tex] The side of the land is 14 meters long.

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••} [/tex]

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