Question

A field is in the form of parallogram whose adjacent sides are 3:2 and the perimeter is 200m. One of the diagnal is 90m long . Find the area of parallogram​

Answer 1

Answer:

1912.45915

Step-by-step explanation:

let the variable x

then sides length = 3x and 2x

perimeter = 2( a + b )

200 = 2 ( 3x + 2x )

200 = 10x

x = 20

means length of sides = 60 and 40

now use herons formula to calculate the area of triangle with one side as diagonal

s = (60+40+90)/2 = 95

area = √s(s-a)(s-b)(s-c)

= √95(95-60)(95-40)(95-90)

=√95×35×55×5

=√914375

= 956.229575

total area = 2 × area of triangle

= 2 × 956.229575

= 1912.45915