Question

Area of triangle a1 is 1024,a2 is 1016,a3 is 1057 a4 is ?

Answer 1

Answer:

area of a4 is not dependant on other three triangles

wrong question

Answer 2

Answer:

1065

Step-by-step explanation:

ABCD is a rectangle as seen in figure.

A1 = 1/2 x 2 a x h1 = a.h1 = 1024  -- (1)

A2 = 1/2 x 2b x h2 = b.h2 = 1016 -- (2)

A3 = 1/2 x 2a x h3 = a.h3 = 1057 -- (3)

A4 = 1/2 x 2b x h4 = b.h4 = x

h1 + h3 = 2b --(4)

h2 + h4 = 2a --(5)

(1) + (3)

a.h1 + a.h3 = 1024 + 1057

Using (4)

2ab =  2081  --- (6)

(2) + (4)

b.h2 + b.h4 = 1016 + x

Using (5)

2 ab = 1016 + x -- (7)

Using (6) and (7)

2081 = 1016 + x

there fore, x = 1065