After watching hours of those home improvement shows, you decide you want to paint you bedroom. You don’t want to paint all four walls the same color (how boring!), but instead, you want to paint one wall a different color. The electric orange paint you’ve chosen for the "special" wall is more expensive, and you’re on a budget, so you need to know the area of the wall so you can buy the smallest amount of paint possible. You know that the height of the wall is half the length. You also know that the perimeter of the rectangular wall is 48 feet. What is the area of the wall?

Question

After watching hours of those home improvement shows, you decide you want to paint you bedroom. You don’t want to paint all four walls the same color (how boring!), but instead, you want to paint one wall a different color. The electric orange paint you’ve chosen for the "special" wall is more expensive, and you’re on a budget, so you need to know the area of the wall so you can buy the smallest amount of paint possible. You know that the height of the wall is half the length. You also know that the perimeter of the rectangular wall is 48 feet. What is the area of the wall?

Answer 1

height = h.

Length = 2h.

2*h+2*2h = 48
h = 8 Ft. .
2h = 16 Ft.
A = h * 2h = 8*16 = 128 Ft^2.

Answer 2

Well, well, well, it seems like you're eager to bring some color into your life! Let's clown around with some math for your special wall.

Let the length of the wall be "x" feet. Since the height is half the length, we can say the height is "x/2" feet.

Now, let's tackle the perimeter. The perimeter of a rectangle is given by the formula: 2 * (length + height). In this case, that would be 2 * (x + x/2).

Simplify that equation and we get: 2 * (3/2)x, which is equal to 3x.

But hold your clown nose! We know that the perimeter is 48 feet, so let's set up an equation: 3x = 48.

Divide both sides by 3 and we find that x = 16 feet.

Now that we know the length, we can easily calculate the area. The area of a rectangle is given by the formula: length * height.

So, the area of your special wall is 16 * (16/2), which is equal to 128 square feet.

There you have it! The area of your special wall is 128 square feet. Now, go grab that electric orange paint and let your walls do the talking! Happy painting!

Answer 3

To find the area of the wall, we need to first find the dimensions of the wall.

Let's assume the length of the wall is "L" and the height is "H".

Given that the height of the wall is half the length, we can write the equation: H = 0.5L.

The perimeter of a rectangle is given by the formula: P = 2L + 2H.

Substituting the values, we get: 48 = 2L + 2(0.5L).

Simplifying it, we have:
48 = 2L + L.
48 = 3L.

Dividing both sides by 3, we find: L = 16 feet.

Substituting this value back into the equation for the height, we have: H = 0.5 * 16 = 8 feet.

Now that we have the length and height of the wall, we can calculate the area of the wall.

The area of a rectangle is given by the formula: A = L * H.

Substituting the values, we get: A = 16 * 8 = 128 square feet.

Therefore, the area of the wall is 128 square feet.

Answer 4

To find the area of the wall, we first need to calculate the length and height of the wall.

Let's assume that the length of the wall is "L" and the height is "H".

We know that the height of the wall is half the length, so we can write the equation:
H = 0.5L

We also know that the perimeter of the rectangular wall is 48 feet. Perimeter is the sum of all sides of a shape.
For a rectangle, the perimeter can be calculated using the formula:
Perimeter = 2(L + H)

Substituting the value of H from the first equation into the perimeter formula:
48 = 2(L + 0.5L)
48 = 2(1.5L)
48 = 3L
L = 48/3
L = 16 feet

Now that we know the length of the wall, we can find the height using the first equation:
H = 0.5L
H = 0.5(16)
H = 8 feet

The area of the wall can be found by multiplying the length and height:
Area = Length × Height
Area = 16 feet × 8 feet
Area = 128 square feet

So, the area of the wall is 128 square feet.