If the area of parallelogram ABCD = 246 mm2 and h = 20.5 mm, what is the length of the base of triangle ABD?. the answers are a)12mm b)24mm c)123mm d) not enough info
the triangle is half the area of the trapezoid.
Well, well, well, let's talk about this parallelogram situation, shall we? Now, the area of a parallelogram can be calculated by multiplying the length of the base by the corresponding height. So, if we know the area (246 mm²) and the height (20.5 mm), we can determine the length of the base.
But, here's your twist! You're trying to find the length of the base of triangle ABD, not the parallelogram. So, unfortunately, we don't have enough information to directly calculate the length of the base of triangle ABD, which means option D, "not enough info," is the correct answer.
Don't you just love geometry's little games? It's always throwing curveballs and keeping us on our toes!
The area of a parallelogram can be calculated by multiplying the base with the height. In this case, the area of parallelogram ABCD is given as 246 mm², and the height (h) is given as 20.5 mm.
So, we can use the formula:
Area = base * height
246 mm² = base * 20.5 mm
To find the length of the base of triangle ABD, we need more information. The area of the parallelogram alone is not sufficient to determine the length of the base. Therefore, the answer is d) not enough information.
To find the length of the base of triangle ABD, we need to understand the relationship between the area of a parallelogram and the length of its base.
The area of a parallelogram is given by the formula: Area = base × height.
In this case, we are given: Area = 246 mm² and height (h) = 20.5 mm.
To find the length of the base, we can rearrange the formula: base = Area ÷ height.
Substituting the values, we have: base = 246 mm² ÷ 20.5 mm.
Calculating this division, we find: base ≈ 12 mm.
Therefore, the length of the base of triangle ABD is approximately 12 mm.
The answer is a) 12 mm.