Question

Find the area of the shape.

Answer 1

Answer:

36*sqrt(3)

Step-by-step explanation:

Remark

Use the Pythagorean theory to find the height. Use that height to find the area of the rectangle and the triangle Or

You can find the area of the trapezoid which requires only 1 step after you find the height.

Height

c = 8

b = 4

a = ?

a^2 + b^2  =  c^2

a^2 + 4^2 = 8^2

a^2 + 16 = 64

a^2 = 64 - 16

a^2 =  48

a^2 =  16 * 3

sqrt(a^2) = sqrt(16*3)

a = 4 * sqrt(3)

That's the height

Trapezoid

b1 = 7

b2 = 7 + 4 = 11

h = 4*sqrt(3)

Area = (b1 + b2)*h / 2

Area = (7 + 11)* 4*sqrt(3)/2

Area = 18 * 2 sqrt(3)

Area = 36* sqrt(3)