Question

Two adjacent sides of a
parallelogram are 30 m and 14 m
and the diagonal joining the end
points of these sides is 40 m. The
area of the parallelogram is
(a) 168 m²
(b) 336 m²
(C) 372 m²
(d) 480 m²
​

Answer 1

Step-by-step explanation:

HELLO DEAR,

Given: Two adjacent side of a parallelogram are 30 m. and 14m and the diagonal joining the end points of these sides is 40m

Subject: To find the area of parallelogram.

Solution: Area of parallelogram can be find by using Herons formula ,by which we first find the area of triangle made by three sides of parallelogram and then double it.

So, lets find area of tri ABC by using Herons formula.

s=(a+b+c)/2

s= (30 + 14 + 40)/2

s= 84/2

s= 42 m

area of triABC= √{s(s-a)(s-b)(s-c)}

= √{42(42-30)(42-14)(42-40)}

=√{42(12)(28)(2)}

= √{14×3×2×2×3×14×2×2}

=14×2×2×3

=168 m^2

Therefore area of parallelogram = 2× area of tri ABC

= 2× 168

=336 m^2.

I HOPE IT HELP YOU DEAR,

THANKS.