The width of a rectangle is 4 feet shorter than its length. The area of the rectangle is 42 ft.². Find the length and width. Round your answer to the nearest 10th of a foot.

Length ≈ 20 feet (rounded down nearest 10th feet)

Width ≈ 20 feet (rounded up to nearest 10th feet)

Step-by-step explanation:

Find Length and Width

Width = Length - 4 feet

Area = 42 ft²

Area = L x W

42 = L x (L - 4)

42 = 2L - 4

42 + 4 = 2L - 4 + 4

2L = 46

2L/2 = 46/2

L = 23

L ≈ 20 feet

Width = 23 - 4

Width = 19 feet

Width ≈ 20 feet

answer: the common difference is -0.10

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18