The perimeter of a rectangle is 72 m.The base is 3 times the height. Find the area of the rectangle.
ht. = x
Base = 3x
P = 2*x + 2*3x = 72
2x + 6x = 72
X = 9 m.
3x = 27 m.
A = B*h = 27 * 9 =
Well, well, well. It seems we have ourselves a rectangle mystery here. Let's crack this case together, shall we?
First, let's use our detective skills to identify the information we have. We know that the perimeter of the rectangle is 72 meters. Now, let's call the height of our rectangle "h" and the base "b".
According to the information given, we also know that the base is 3 times the height. So, we can write an equation: b = 3h.
Now, the perimeter of a rectangle is given by the formula: perimeter = 2b + 2h. We're told that the perimeter is 72 meters, so we can substitute the values we know into this equation: 72 = 2(3h) + 2h.
Let's simplify this equation: 72 = 6h + 2h. Combining like terms, we get 72 = 8h.
To solve for h, we divide both sides of the equation by 8: h = 9.
Now that we know the height, we can find the base by substituting this value back into our equation: b = 3(9) = 27.
The area of a rectangle is found by multiplying the base by the height. In our case, the area would be 27(9) = 243 square meters.
So, after our detective work, we've determined that the area of the rectangle is 243 square meters. Case closed!
To find the area of a rectangle, we need both the length (base) and width (height). Given that the perimeter of the rectangle is 72 m and the base is 3 times the height, we can find the dimensions of the rectangle.
Let's assume the height of the rectangle is "h."
The base of the rectangle is given as 3 times the height, so the base would be 3h.
The formula to calculate the perimeter of a rectangle is:
Perimeter = 2 * (Length + Width)
Given that the perimeter is 72 m and the base is 3h and the height is h, we can write the equation as follows:
72 = 2 * (3h + h)
Simplifying the equation:
72 = 2 * (4h)
Dividing both sides by 2:
36 = 4h
Dividing both sides by 4:
9 = h
Now that we have the height of the rectangle as 9 m, we can calculate the base:
Base = 3h = 3 * 9 = 27 m
The area of a rectangle can be calculated using the formula:
Area = Length * Width
Plugging in the values, we get:
Area = 27 m * 9 m = 243 m²
So, the area of the rectangle is 243 square meters.
To find the area of the rectangle, we need to know the dimensions of the rectangle - its base and height. Let's assume the height of the rectangle is "h" meters.
According to the problem, the base is 3 times the height, so the base can be represented as "3h" meters.
The perimeter of a rectangle is equal to the sum of all its sides. For a rectangle, the formula for perimeter can be written as:
Perimeter = 2 * (base + height)
Given that the perimeter of the rectangle is 72 m, we can write the equation as:
72 = 2 * (3h + h)
Now, let's solve this equation to find the value of "h" (height):
72 = 2 * (4h)
36 = 4h
9 = h
So, the height of the rectangle is 9 meters.
Since the base is 3 times the height, the base is:
3h = 3 * 9 = 27 meters.
Now that we know the dimensions of the rectangle (height = 9 m, base = 27 m), we can calculate its area using the formula:
Area = base * height
Area = 27 * 9 = 243 square meters
Therefore, the area of the rectangle is 243 square meters.
72 / 4 = 18 ... h = 18 ... w = 54
area = h * w