In triangle abc, bc=4cm, ad=3cm. the triangle abc moves upward at the speed of 4cm per seconds. what is the area swept by the triangle in three seconds?

Step-by-step explanation:

Area Of Triangle And Rectangle

Given a triangle of base b and height h (perpendicular to b), the area can be computed by

A rectangle of the same dimensions has an area of

We have a triangle of base 3 cm and a height of 4 cm. Its area is

That triangle moves upward at 4 cm per second for 3 seconds. It means that the triangle 'sweeps' upwards three times its height forming a rectangle of base 3 cm and height 12 cm. The area of the swept area is

The triangle stays in the top of this rectangle, so its area is part of the total swept area:

Total swept area = 6 + 36 =

answer: 414,377,008

step-by-step explanation:

just multiply it

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.