Convert r=2sin(2theta) into rectangular cords.

Step-by-step explanation:

We want to convert the polar equation:

To rectangular form.

Recall the double-angle identity for sine:

Hence:

Since x = rcosθ and y = rsinθ:

Multiply:

Recall that x² + y² = r². Hence:

By squaring both sides:

Substitute:

And multiply. Therefore:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

the answer is somewhere there guys it really . there im just not gonna answer

step-by-step explanation:

but i'm guessing ur first option tho