Arectangular flag is 36cm long and 18cm wide. if a triangle is cut out of the center of the flag that has a base of 5cm and a height of 2cm, what is the remaining area of the flag?

The answer to your question is 643 cm²

Step-by-step explanation:

Data

Rectangle

length = 36 cm

width = 18 cm

Triangle

base = 5 cm

height = 2 cm

Process

1.- Find the area of the triangle

Area = length x width

Area = 36 x 18

Area = 648 cm²

2.- Find the area of the triangle

Area = base x height/ 2

Area = 5 x 2 / 2

Area = 5 cm²

3.- Find the remaining area

Remaining area = rectangle's area - triangle's area

Remaining area = 648 - 5

Remaining area = 643 cm²

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x