The perimeter of rectangular garden is 40 feet. The width is 2 feet more than half the length. What is the length and width

A box has a volume of 990 cubic centimeters. Each side of the box has a length that is about 1.5 centimeters longer than the oube-shaped object in the box. The equation 990(x+ 1.59)^3 can be used to determine x, the length of each side of the object, in centimeters. Which estimate is closest to the length of each side of the object?

To find the length and width of the rectangular garden, we can set up an equation based on the given information.

Let's assume that the length of the garden is represented by "L" and the width is represented by "W."

According to the problem, the perimeter of the garden is 40 feet. The formula for calculating the perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

Therefore, we can write the equation as:

40 = 2 * (L + W)

Next, the problem states that the width is 2 feet more than half the length. Mathematically, this can be expressed as:

W = (1/2)L + 2

Now, we can substitute this expression for the width into the equation we set up earlier. Let's rewrite the equation using the above expression for the width:

40 = 2 * (L + (1/2)L + 2)

Simplifying the equation further:

40 = 2 * (3/2)L + 4

40 = 3L + 4

Subtracting 4 from both sides:

36 = 3L

Dividing both sides by 3:

L = 12

Now that we have the value of L (length), we can substitute it back into the expression for the width:

W = (1/2)L + 2
= (1/2) * 12 + 2
= 6 + 2
= 8

Therefore, the length of the rectangular garden is 12 feet, and the width is 8 feet.

P = 2 W + 2 L = 2 ( W + L ) = 40

2 ( W + L ) = 40 Divide both sides by 2

W + L = 20

W = 2 + L / 2

W + L = 20

2 + L / 2 + L = 20

2 + L / 2 + 2 L / 2 = 20

2 + 3 L / 2 = 20 Subtract 2 to both sides

2 + 3 L / 2 - 2 = 20 - 2

3 L / 2 = 18 Multiply both sides by 3

3 L = 36 Divide both sides by 3

L = 12 ft

3 L / 2 = 18 Multiply both sides BY 2

3 L = 36 Divide both sides by 3

L = 12 ft