Hi.-It's Margie and I have a Math Lab to do but I don't get this.If you can, please help.:
Use the Pythagorean Theorem to find the diagonal of the new room.
length=22
width=25
area=350
Is the area supposed to be 550 instead of 350? Area of a rectangle is length times width, which would be 22 * 25 = 550.
To find the diagonal:
a^2 + b^2 = c^2
22^2 + 25^2 = c^2
484 + 625 = c^2
1109 = c^2
Take the square root of 1109 to find c, which will be the diagonal.
I hope this helps and is what you were asking.
Hi Margie! I'm glad you reached out for help. Let's work through the problem step by step.
First, we need to clarify the values you provided. The length of the room is given as 22 and the width as 25. The area is given as 350, but it seems there might be a mistake. The area of a rectangle is calculated by multiplying the length and width, so in this case, it would be 22 * 25 = 550.
Now, to find the diagonal of the new room, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length and width of the room form the two sides of a right triangle, and we want to find the length of the diagonal (the hypotenuse).
Let's use the Pythagorean theorem to find the length of the diagonal (c):
a^2 + b^2 = c^2
Substituting the given values:
22^2 + 25^2 = c^2
Simplifying:
484 + 625 = c^2
1109 = c^2
To find c, we need to take the square root of both sides of the equation:
√1109 = √c^2
c ≈ √1109
Using a calculator, the square root of 1109 is approximately 33.29. Therefore, the diagonal of the new room is approximately 33.29 units.
I hope this explanation helps you understand how to solve the problem! Let me know if you have any further questions.