Regina has started making baby quilts to sell at a craft fair. The inside of each quilt will measure four feet by five feet and will be surrounded by a border of uniform width. She wants each quilt to have a total area (including the border) of 30 square feet. Find the equivalent equations to find the width of the border given that the border is x. Select all that apply.

1: (4+x) (5+x) = 30

2: (4+2x) (5+2x) = 30

3: 4x^2 + 20 = 30

4: 4x^2 + 18x+20=30

5: (5+x) (4+x) = 30

6: (x+4) (x+5) = 30

Question

Jamie Meadows

Mathematics

14 December, 14:19

Regina has started making baby quilts to sell at a craft fair. The inside of each quilt will measure four feet by five feet and will be surrounded by a border of uniform width. She wants each quilt to have a total area (including the border) of 30 square feet. Find the equivalent equations to find the width of the border given that the border is x. Select all that apply.

1: (4+x) (5+x) = 30

2: (4+2x) (5+2x) = 30

3: 4x^2 + 20 = 30

4: 4x^2 + 18x+20=30

5: (5+x) (4+x) = 30

6: (x+4) (x+5) = 30

+1

Answers (1)

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Salvador Ochoa · Answer 1

Given are the statements describing the area of the baby quilts:

Inside dimensions = 4 x 5 feet

Border with uniform width = x feet

Total area of the quilt = 30 square feet

A = length x width

Area of inside quilt = 4 x 5

Area of quilt including the border = (4+2x) * (5+2x)

Therefore, the equations that are applicable are:

2: (4+2x) (5+2x) = 30

4: 4x^2 + 18x+20=30