Question

Find the perimeter and area of the parallelogram.

Answer 1

Given b =10 in, w = 30 in

First find out the height of parallelogram

From triangle AED

Sin 60 = h/10

√3/2 = h/10

Apply multiplication property,multiple by 10 to each side.

√3/2*10 = h/10*10

 5√3 = h

Perimeter of parallelogram = 2(w+h)

=2(30+5√3)

=60+10√3 in

Area of parallelogram = b*h

= 10*5√3

= 50√3 in^2