A rectangular blanket for a child that measures 3 feet by 4 feet is made. A border that is exactly 6 square feet is to be created around the

Question

A rectangular blanket for a child that measures 3 feet by 4 feet is made. A border that is exactly 6 square feet is to be created around the blanket. Which equations represent the required width of the border, x? Select all that apply A. (3+x)(4+x)=18 B. (3+2x)(4+2x)=18 C. (3+x)(4+x)-3(4)=6 D. (3+2x)(4+2x)=6 E. (3+2x)(4+2x)-3(4)=6

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Euphemia 4 years 2021-09-03T18:21:46+00:00 1 Answers 38 views 0

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  1. thuthuy
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    2021-09-03T18:22:54+00:00
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    Answer: (4+2x)(3+2x) =18

    Step-by-step explanation:

    Given: A rectangular blanket for a child that measures 3 feet by 4 feet is made.

    Area of border = 6 sq. feet

    Area of rectangle = Length x Breadth

    Then Area of blanket= 3 feet x 4 feet = 12 sq.feet

    Combined area including border = 6 +12 = 18 sq. feet   (i)

    Let x = width of border

    New length = 4 +x+x = 4+2x feet

    New breadth = 3+x+x = 3+2x feet

    Combined area including border  = (4+2x)(3+2x)(ii)

    From (i) and (ii), we get

    (4+2x)(3+2x) =18 (Required equation)

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