The area of a parallelogram is 3.36 square feet. The base is 2.8 feet. If the measures of the base and height are each doubled, find the area of the resulting parallelogram.
if linear dimensions are scaled by 2, area is scaled by 2^2 = 4
4*3.36 = 13.44
To find the area of a parallelogram, you can use the formula: Area = base x height.
In the given information, the area of the original parallelogram is 3.36 square feet, and the base is 2.8 feet. Let's denote the height as 'h'.
We can rearrange the formula as: Area = base x height
Substituting the given values, we have: 3.36 = 2.8 x h
To find the height, we can divide both sides of the equation by 2.8: h = 3.36 / 2.8
Calculating this gives us: h = 1.2 feet.
Now, we need to find the area of the resulting parallelogram when the base and height are doubled.
Doubling the base gives us: 2 x 2.8 = 5.6 feet
Doubling the height gives us: 2 x 1.2 = 2.4 feet
Now we can calculate the area of the resulting parallelogram: Area = base x height
Substituting the new values, we get: Area = 5.6 x 2.4
Calculating this gives us: Area = 13.44 square feet.
Therefore, the area of the resulting parallelogram, when the base and height are each doubled, is 13.44 square feet.