the base of a right triangle is 2 inches less than 4 times its height, (h). to create a new triangle, the length of the base is increased by 7 inches, and the height is increased by 5 inches. which function represents the area, f(h), of the new triangle?

98 points djdjsi zisksis sjsjsi sisksj sksjdj sksks sjsisj

it would take 5 hours i think idk i'm not that good at math.can you me with my questions i need asap.

the answer would be c

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3