What is the total area of the two shapes?

2 nd Option

the total area of the two shapes = 21 square units

Step-by-step explanation:

To find the area of square

From the figure we get one side of square equal to 3√2.

Consider the triangle with hypotenuse as side of square.

Angles are 45°, 45° and 90°, then sides 3 , 3 and 3√2

Therefore one side of square is 3√2

area of square = side * side = 3√2 * 3√2 = 18 square units

To find the area of triangle

The base of triangle = side of square = 3√2

base b = 3√2

Height of triangle is the diagonal of small square which is equal to √2

height h = 3√2

Area of triangle = bh/2  = (3√2 * √2)/2 = 6/2 = 3 square units

To find the total area

Total area = area of square + area of triangle = 18 = 3 = 21 square units.

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb