Find the distance between the two opposite corners of a rectangle room which is 14m by 8cm. Use a scale of 2m to1cm
why use a scale? we want the actual distance, right?
Use the Pythagorean Theorem.
and those are strange dimensions, one in meters, the other in cm.
Find the distance the opposite corners of rectangular room which is 12m by 9m.use a scale 1cm to 1m
To find the distance between the two opposite corners of a rectangle room, we can use the Pythagorean theorem.
First, convert the dimensions of the room to the same unit. Since the scale given is 2m to 1cm, we need to convert the 8cm to meters.
8cm * (2m/1cm) = 16m
So, the dimensions of the room are 14m by 16m.
Let's say the two opposite corners of the room are points A and B. The sides of the rectangle connecting these two corners will be the length and width of the room.
Using the Pythagorean theorem, we have:
Distance^2 = Length^2 + Width^2
Distance^2 = 14m^2 + 16m^2
Distance^2 = 196m^2 + 256m^2
Distance^2 = 452m^2
Taking the square root of both sides, we get:
Distance = √452m^2
Calculating this, the distance between the opposite corners of the room is approximately 21.27 meters.
To find the distance between the two opposite corners of a rectangle room, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the length and width of the room are given as 14 meters and 8 centimeters, respectively. To solve this, we need to convert the measurements to the same unit.
Given that the scale is 2 meters to 1 centimeter, we can convert the width from centimeters to meters as follows:
8 centimeters * 2 meters / 1 centimeter = 16 meters
Now, we have the length and width of the room in meters: 14 meters and 16 meters.
Next, we can use the Pythagorean theorem to find the diagonal distance (hypotenuse) between the two opposite corners. Let's call it "d."
Using the formula, we have:
d^2 = (14 meters)^2 + (16 meters)^2
d^2 = 196 square meters + 256 square meters
d^2 = 452 square meters
To find the value of "d," we need to take the square root of both sides:
d = √452
d ≈ 21.28 meters
Therefore, the distance between the two opposite corners of the rectangle room is approximately 21.28 meters.