Question

The width of a rectangle is 4 Feet and the diagonal lenght of the rectangle is 13 feet which measurment is closest to the lenght of this rectangle in feet? a) 5 feet

b) 12 feet
c) 9 feet
d) 8 feet

Answer 1

To find the length of the rectangle, we can use the Pythagorean theorem. The measurement that is closest to the length of this rectangle is 12 feet.

Step-by-step explanation:

To find the length of the rectangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides. In this case, the width of the rectangle is one side and the length is the other side. We can set up the equation as follows:

width^2 + length^2 = diagonal^2

Substituting the known values:

4^2 + length^2 = 13^2

Simplifying, we get:

16 + length^2 = 169

Subtracting 16 from both sides:

length^2 = 153

Taking the square root of both sides:

length = √153

Calculating the approximate value using a calculator, we get:

length ≈ 12.37 feet

Therefore, the measurement that is closest to the length of this rectangle is 12 feet (option b).