a parallelogram has a height of 5 cm and a base of 10cm. what happens to the area if the parallelograms measurements double to a height of 10cm and a base of 20cm?
A. the area doubles.<my answer
B. the area is quadrupled.
C. the area stays the same.
D. the area is cut in half.
nope. area=height*base
if you double height, then double base....
To find out what happens to the area when the measurements of a parallelogram double, we need to use the formula for the area of a parallelogram, which is base multiplied by height.
Let's calculate the initial area using the given measurements of height = 5 cm and base = 10 cm.
Area = base × height
Area = 10 cm × 5 cm
Area = 50 cm^2
Now, let's calculate the new area after doubling the measurements to a height of 10 cm and a base of 20 cm.
Area = base × height
Area = 20 cm × 10 cm
Area = 200 cm^2
Comparing the initial area (50 cm^2) and the new area (200 cm^2), we find that the new area is four times larger.
Therefore, the correct answer is option B. The area is quadrupled.
To find the area of a parallelogram, you use the formula: Area = base × height.
In this case, the initial measurements of the parallelogram are:
Base = 10 cm
Height = 5 cm
So, the initial area of the parallelogram is: Area = 10 cm × 5 cm = 50 cm².
Now, let's consider the new measurements of the parallelogram:
Base = 20 cm
Height = 10 cm
To find the new area, we again use the formula: Area = base × height.
Substituting in the new measurements, we get: Area = 20 cm × 10 cm = 200 cm².
Comparing the initial area (50 cm²) to the new area (200 cm²), we can see that the area was quadrupled.
Therefore, the correct answer is:
B. The area is quadrupled.