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

Answer 1

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

Explanation:

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Answer 2

Answer: (4+2x)(3+2x) =18

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)