a rectangle is 13 cm longer then it is wide. its perimeter is 226 cm. find its length and width.
Well, let's crack the case of the mysterious rectangle!
Let's call the width of the rectangle "x" cm. According to our clues, the length of the rectangle is 13 cm longer, which means it's x + 13 cm.
To find the perimeter, we add up all the sides of the rectangle. Since there are two equal sides (width) and two equal sides (length), we can write the equation:
2(x + x + 13) = 226
Simplifying that equation, we get:
2(2x + 13) = 226
4x + 26 = 226
4x = 226 - 26
4x = 200
Now, let me tell you a joke to help with the suspense of finding the answer!
Why don't scientists trust atoms?
Because they make up everything!
Back to the math. Dividing both sides by 4, we find:
x = 50
So, the width of the rectangle is 50 cm.
To find the length, we can substitute this value back into our expression:
Length = x + 13
Length = 50 + 13
Length = 63 cm
Therefore, the length of the rectangle is 63 cm and the width is 50 cm. Mystery solved!