To find the new area of the triangle, we first calculated the original area of the triangle using the formula (1/2) * base * height, where the area was given as 124 square units.
We were then given that the new base is half as long as the original base, so we substituted b/2 for the new base. The new height was stated to be three times as long as the original height, so we substituted 3h for the new height.
Using the formula for the area of a triangle (1/2) * base * height, we calculated the new area by multiplying (1/4) * the product of the original base and 3 times the original height.
Substituting the original area (124) into this formula, we found that the new area of the triangle would be 31 square units.
To find the new area of the triangle, we first need to calculate the new base and height of the triangle.
Let the original base be denoted as b and the original height be denoted as h.
Given that the area of the original triangle is 124 square units, we have:
Area = (1/2) * base * height
124 = (1/2) * b * h
Next, we are told that the new base is half as long as the original base, so the new base is b/2. Additionally, the new height is three times as long as the original height, so the new height is 3h.
Therefore, the new area of the triangle can be calculated using the formula for the area of a triangle:
New Area = (1/2) * new base * new height
New Area = (1/2) * (b/2) * (3h)
New Area = (1/4) * b * 3h
Substitute the expression for the original area (124) into this equation:
New Area = (1/4) * 124
New Area = 31
Therefore, the new area of the triangle would be 31 square units.
rewrite this in your words showing the steps.
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