If the area of parallelogram ABCD = 246 mm2 and h = 20.5 mm, what is the length of the base of triangle ABD?
12 mm
• 24 mm
• 123 mm
• There is not enough information given.
There is not enough information given.
To find the length of the base of triangle ABD, we first need to determine the height of the parallelogram ABCD. The area of a parallelogram can be calculated using the formula: Area = base × height. Given the area of the parallelogram as 246 mm² and the height (h) as 20.5 mm, we can rearrange the formula and solve for the base:
Base = Area / Height
Base = 246 mm² / 20.5 mm
Base ≈ 12 mm
Therefore, the length of the base of triangle ABD is approximately 12 mm.
To find the length of the base of triangle ABD, we can use the formula for the area of a parallelogram which is A = base * height.
Given:
Area of parallelogram ABCD = 246 mm^2
Height (h) = 20.5 mm
Let's substitute the given values in the formula:
246 = base * 20.5
To find the length of the base (base), we need to rearrange the equation and solve for base.
Dividing both sides of the equation by 20.5:
base = 246 / 20.5
Calculating the value:
base = 12
Therefore, the length of the base of triangle ABD is 12 mm.
So, the correct answer is:
• 12 mm