A rectangle has a side that is 10 units long. How long will this side be after the figure is translated down 4 units and to the right 5 units?(1 point)
To find the length of the side after the translation, we need to subtract the distance it was translated down and add the distance it was translated to the right.
Given:
Original side length: 10 units
Translation down: 4 units
Translation right: 5 units
To find the new length of the side after the translation, we can use the Pythagorean theorem to calculate the hypotenuse of a right-angled triangle formed by the original side, the translation down, and the translation right.
Using the Pythagorean theorem:
New side length = √((original side length)^2 + (translation down)^2 + (translation right)^2)
New side length = √((10^2) + (4^2) + (5^2))
New side length = √(100 + 16 + 25)
New side length = √141
New side length ≈ 11.87 units
Therefore, the length of the side after the figure is translated down 4 units and to the right 5 units is approximately 11.87 units.