the perimeter of the think thing thingamabob is 24 centimeters. All the thingamabob's sides are same length. How long are they? What is the Thingamabob's area?
L = ?
A = ?
I think Length = 6
I think Area = 36
is this correct? if not can you show or explain? thank you
Yes, you are right. :-)
thank you Ms. Sue
You're welcome, a.
To find the length of the sides of the thingamabob, we first need to understand that the thingamabob has equal sides since all sides are the same length. Let's represent the length of one side as L.
The perimeter of a shape is the sum of the lengths of all its sides. In this case, the perimeter is given as 24 centimeters. Since the thingamabob has four sides of equal length, we can express the perimeter using the formula:
Perimeter = 4 * L
Substituting the given perimeter value into the formula, we have:
24 = 4L
To find the value of L, we can solve for L by dividing both sides of the equation by 4:
24 / 4 = L
6 = L
So, the length of each side of the thingamabob is 6 centimeters.
Now, let's move on to finding the area of the thingamabob. The area of a shape is a measure of the space enclosed inside it. Since the thingamabob is a square (with equal sides), we can find its area by multiplying the length of one side by itself.
Area = L * L = L²
Substituting the given value of L into the formula, we have:
Area = 6 * 6 = 36 square centimeters
Therefore, your calculations are correct. The length of each side of the thingamabob is 6 centimeters, and its area is 36 square centimeters.