A rectangle is 26 meters long and 18 meters wide.What is the length of the diagonal of the rectangle to the nearest meter? equation: A2 + B2= C2 I don't know where to put the numbers, but I think the answer may be 32. Thank you for any help!
A = 26
B = 18
Your answer is right.
To find the length of the diagonal of a rectangle, you 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 a rectangle, the diagonal forms a right triangle with the length and the width as the other two sides.
So, for your rectangle with a length of 26 meters and a width of 18 meters, we can use the Pythagorean theorem to find the diagonal:
c^2 = a^2 + b^2
where c is the length of the diagonal, and a and b are the length and width of the rectangle.
Plugging in the values:
c^2 = 26^2 + 18^2
c^2 = 676 + 324
c^2 = 1000
To find c, we need to take the square root of both sides:
c = √1000
c ≈ 31.62
Rounding the result to the nearest whole number, the length of the diagonal of the rectangle is approximately 32 meters. So your initial hunch was correct!
To find the length of the diagonal of a rectangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In the case of a rectangle, if we consider its length as one of the sides of a right triangle, and its width as the other side, we can find the length of the diagonal.
Let's assign the values given in the problem to the sides of the right triangle:
Length (L) = 26 meters
Width (W) = 18 meters
Now we can use the Pythagorean theorem:
A2 + B2 = C2
Substituting the values:
L2 + W2 = C2
262 + 182 = C2
676 + 324 = C2
1000 = C2
To find the value of C (the length of the diagonal), we need to take the square root of both sides of the equation:
C = √1000
Calculating the square root:
C ≈ 31.62
Therefore, the length of the diagonal of the rectangle, rounded to the nearest meter, is 32 meters.
So, your answer of 32 is correct!