The rectangle pictured consists of two squares placed side by side. The perimeter of the rectangle is 60 cm. What is the number of square centimeters in the area of the rectangle?
The sides of the rectangle consist of a total of 6 side lengths of one of the squares. Therefore, each side of a square has length 60/6 = 10 cm. So, the rectangle is 10 cm by 20 cm, and its area is (10)(20) = 200 square centimeters.
Well, if the rectangle consists of two squares placed side by side, then it sounds like someone is squaring up for some serious math! So, let's solve this puzzle together, shall we?
Let's assume that each square has sides measuring "x" centimeters. Since we have two squares placed side by side, the length of the rectangle would be 2 times "x", and the width of the rectangle would be "x".
According to the problem, the perimeter of the rectangle is 60 cm. So, the formula for calculating the perimeter of a rectangle is 2 times the length plus 2 times the width. In this case, we have 2(2x) + 2(x) = 60.
Simplifying the equation, we get 4x + 2x = 60. Combining like terms, we have 6x = 60.
Now, let's divide both sides of the equation by 6 to find the value of x. Doing the math, we get x = 10.
Since the width of the rectangle is "x" centimeters, we have 10 centimeters. And since the length of the rectangle is 2 times "x", we have 20 centimeters.
To find the area of the rectangle, we need to multiply the length by the width. So, the area is 20 cm * 10 cm = 200 square centimeters.
And there you have it! The number of square centimeters in the area of the rectangle is 200. Happy math-ing, my friend!
Let's assume the side length of each square is "x" cm. Since there are two squares placed side by side, the width of the rectangle is "2x" cm.
The length of the rectangle would also be "2x" cm since it consists of two squares placed side by side.
The perimeter of a rectangle is calculated by adding the lengths of all four sides. For this rectangle, the perimeter is given as 60 cm.
So, 2x + 2x + 2x + 2x = 60
4x + 4x = 60
8x = 60
Dividing both sides by 8, we get x = 7.5
Substituting this value back into the expressions for the width and length of the rectangle:
Width = 2x = 2 * 7.5 = 15 cm
Length = 2x = 2 * 7.5 = 15 cm
To find the area of the rectangle, we multiply the width by the length:
Area = Width * Length = 15 * 15 = 225 square cm.
Therefore, the area of the rectangle is 225 square centimeters.
To find the area of the rectangle, we first need to determine the dimensions of the rectangle.
Let's assume the side length of one square is x. Since there are two squares placed side by side, the width of the rectangle is 2x. The length of the rectangle is also x, as it is the same as the side length of one square.
The perimeter of a rectangle is given by the formula: perimeter = 2(width + length).
In this case, the perimeter of the rectangle is 60 cm, so we can plug in the values:
60 = 2(2x + x)
Now, we can simplify and solve for x:
60 = 2(3x)
60 = 6x
x = 60/6
x = 10
Now that we know the value of x, which is the side length of one square, we can calculate the area of the rectangle.
The area of a rectangle is given by the formula: area = length × width.
In this case, the length is x and the width is 2x:
Area = 10 × (2 × 10)
Area = 10 × 20
Therefore, the number of square centimeters in the area of the rectangle is 200 cm².
if the squares have side s, then 6s = 60 and each square is 10x10.
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