Question

57-61 Find a formula for the described function and state its domain. 57. A rectangle has perimeter \( 20 \mathrm{~m} \). Express the area of the rectangle as a function of the length of one of its sides. 58. A rectangle has area \( 16 \mathrm{~m}^{2} \). Express the perimeter of the rectangle as a function of the length of one of \( i \) ts sides. 59. Express the area of an equilateral triangle as a function of the length of a side. 60. A closed rectangular box with volume \( 6 \mathrm{~m}^{3} \) has length twice the width. Express the height of the box as a function of the width. 61. An open rectangular box with volume \( 2 \mathrm{~m}^{3} \) has a square base. Express the surface area of the box as a function of the length of a side of the base.

          57-61 Find a formula for the described function and state its domain.
57. A rectangle has perimeter \( 20 \mathrm{~m} \). Express the area of the rectangle as a function of the length of one of its sides.
58. A rectangle has area \( 16 \mathrm{~m}^{2} \). Express the perimeter of the rectangle as a function of the length of one of \( i \) ts sides.
59. Express the area of an equilateral triangle as a function of the length of a side.
60. A closed rectangular box with volume \( 6 \mathrm{~m}^{3} \) has length twice the width. Express the height of the box as a function of the width.
61. An open rectangular box with volume \( 2 \mathrm{~m}^{3} \) has a square base. Express the surface area of the box as a function of the length of a side of the base.

57-61 Find a formula for the described function and state its domain.
57. A rectangle has perimeter 20 m. Express the area of the rectangle as a function of the length of one of its sides.
58. A rectangle has area 16 m^2. Express the perimeter of the rectangle as a function of the length of one of i ts sides.
59. Express the area of an equilateral triangle as a function of the length of a side.
60. A closed rectangular box with volume 6 m^3 has length twice the width. Express the height of the box as a function of the width.
61. An open rectangular box with volume 2 m^3 has a square base. Express the surface area of the box as a function of the length of a side of the base.

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