Question

70 POINTS SHOW WORK

20. The area of a triangle is 48 in2. What would its new area be if its base was three times as long and its height was half as long?

Answer 1

assuming that the base can be 2 in and the height can 48. changing the lengths to a base of 6 and a height of 24 the triangle's area is 72 or times the original area by the increase over the decrease ... 3/2

Answer 2

area of triangle = 1/2 x base x height

so old triangle we have 1/2 x b x h = 48

new triangle has base 3 times as long and height is half as long
so we would get:

1/2 x (3B) x (1/2H) = area

rewrite as 1/2 x 3/2 x b x H = area

divide by original are os 1/2 x b x h and you end up with 3/2

so new area = 3/2 x old area

new area = 3/2 * 48 = 72 square inches