Question

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

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