Question

Find the area of the following shape. You must show all work to receive credit.

Answer 1

Answer:

54

Step-by-step explanation:

This can be divided into triangle ABF and trapezoid BCDE.

A = A₁ + A₂

A = ½ (10) (3) + ½ (6 + 7) (6)

A = 15 + 39

A = 54

The area is 54 square units.

Answer 2

Answer:

54 sq. units

Step-by-step explanation:

AFB- triangle

base= x(B)- x(F)= 11-1= 10 units

height= y(A)- y(E)= 6-3= 3 units

Area= 1/2bh= 1/2*10*3= 15 sq. units

EDCB- trapezium

top base= x(B)- x(E)= 11-5= 6 units

bottom base= x(C)- x(D)= 11-4= 7 units

height= y(B)- y(C)= 3-(-3)= 6 units

Area= 1/2(b1+b2)*h = 1/2*(6+7)*6= 39 sq. units

Total shaded area= 15+39= 54 sq. units