Answer:
4.5 m
Step-by-step explanation:
The formula for area of a triangle is A = (1/2)bh. If we scale the base and height by a factor of 2, we get..
A = (1/2)(2b)(2h)
A = 2bh
so 2bh is the new area, comparing it to (1/2)bh of the original triangle gives us
2bh = (1/2)bh(x) (here x is the value we need to multiply (1/2)by by
to get 2bh)
Solve for x
4bh = bhx (multiply both sides by 2 to get rid of the fraction)
4 = x (divide both sides by bh)
The new area is 4 times the area of the original triangle.
Since 300 is four times larger than 75, the side lengths of the original triangle are doubled, so the side of the first triangle is 4.5
