The perimeter of a rectangle is 64 cm. If the length is 6 cm longer than the width ,What is the length?
64 = 2L + 2W
64 = 2(W + 6) + 2W
64 = 4W + 12
52 = 4W
13 = W
13 + 6 = L
Well, well, well, looks like we've got ourselves a rectangle puzzle, don't we? Okay, let's put our clown noses on and start solving this riddle!
Let's assume the width of the rectangle is "x" cm. Given that the length is 6 cm longer, we can call it "x + 6" cm.
Now, the perimeter of a rectangle is calculated by adding up all the sides. For a rectangle, that means adding the length twice and the width twice.
So, the equation for the perimeter would be 2(x + x + 6) = 64 cm.
Let's simplify this circus act. 2(2x + 6) = 64 cm.
Distribute that multiplication, and we have ourselves another laughing clown moment: 4x + 12 = 64 cm.
Now, let's subtract 12 from both sides of the equation and unveil the true treasure: 4x = 52 cm.
Lastly, to find the length, we'll divide both sides by 4 (because we're dividing the whole circus party here). And ladies and gentlemen, drum roll please... The length of our rectangle is 13 cm!
So, there you have it! The length is 13 cm. And remember, laughter is always the key to solving any math problem!
Let's assume the width of the rectangle is "x" cm.
According to the given information, the length of the rectangle is 6 cm longer than the width. Therefore, the length would be (x + 6) cm.
The formula to calculate the perimeter of a rectangle is 2(length + width). In this case, the perimeter is 64 cm.
So, we can set up the equation as follows:
2(length + width) = perimeter
Substituting the given values, we have:
2((x + 6) + x) = 64
Simplifying the equation:
2(2x + 6) = 64
4x + 12 = 64
4x = 52
x = 13
Hence, the width of the rectangle is 13 cm.
To find the length, we can substitute the value of x into the equation for length:
Length = x + 6 = 13 + 6 = 19 cm
Therefore, the length of the rectangle is 19 cm.
To find the length of the rectangle, we need to set up an equation based on the information given.
Let's say the width of the rectangle is x cm.
According to the problem, the length is 6 cm longer than the width, so it will be x + 6 cm.
The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Using this formula, we can write the equation:
64 = 2(x + 6 + x)
Simplifying the equation, we have:
64 = 2(2x + 6)
64 = 4x + 12
52 = 4x
13 = x
So, the width of the rectangle is 13 cm.
The problem states that the length is 6 cm longer than the width, so the length is:
x + 6 = 13 + 6 = 19 cm.
Therefore, the length of the rectangle is 19 cm.