SOLUTION: Let the width of a rectangle be w. The length of the rectangle is six less than double the width. A.) Write an equation to represent the area. B.) Write an expression to repres

Question 789724: Let the width of a rectangle be w. The length of the rectangle is six less than double the width.
A.) Write an equation to represent the area.
B.) Write an expression to represent the perimeter.
C.) Solve the equation if the perimeter is 30 inches.
D.) Tell the dimensions of the rectangle.
Answer by waynest(281) (Show Source): You can put this solution on YOUR website!
l = 2w - 6
A.) A = lw
A = w(2w - 6)
A = 2w^2 - 6w
B.) P = 2L + 2w
P = 2(2w - 6) + 2w
P = (4w - 12) + 2w
P = 6w -12
C.) 30 = 6w - 12
30 + 12 = 6w - 12 + 12
42 = 6w
42/6 = 6w /6
7 = w
D.) width = 7 inches
length = 2(7) - 6 = 8 inches
RELATED QUESTIONS
the width w of a rectangle is 2 less than the length, L write an expression using L, to... (answered by unlockmath)

how do I write this as an equation The product of length and width is the area of a... (answered by ewatrrr)

Let L represent the length of a rectangle and let W represent the width of the rectangle. (answered by ikleyn)

the length of a rectangle is 3 inches more than its width. Write an equation for the area (answered by RAY100)

The length of a rectangle is 3 inches more than its width. Write an equation for the area (answered by ewatrrr)

The length of a rectangle is 7 m less than triple the width. If w represents the width,... (answered by laoman)

The length of the rectangle is 10 mm longer than its width. Its perimeter is more than 80 (answered by Boreal)

The length of a rectangle is 10mm longer than its width. It�s perimeter is more than... (answered by Quadratic1600)

The length of a rectangle is 3 meters less than twice its width. A. Write an equation to (answered by TimothyLamb)