A diagonal of a rectangle is 8cm and forms an angle measuring 30 with one side. Find the area of the rectangle

=16*√3 cm²

Step-by-step explanation:

As the diagonak AC of rectangle ABCD= 8 cm and angle CAD=30° we can write

AD=AC*cos30°= 8*√3/2=4*√3

AB=CD=AC*sin30°=8*1/2=4

So the area of rectangle is

S= AB*AD=4*4*√3=16*√3 cm²

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk