215k views
1 vote
The Irregular figure can be broken into a triangle and a rectangle as shown with the dashed line.

The Irregular figure can be broken into a triangle and a rectangle as shown with the-example-1
User Interjay
by
5.0k points

2 Answers

5 votes

Answer:

The answers your ACTAULLY looking for is

Explanation:

1. 2 2/3

2. 4

3. 6 2/3

4. 10 2/3

( I know these answers cause I got them wrong and told me the correct answers)

User Pferate
by
5.1k points
1 vote

Given:

Given that the irregular figure is broken into a triangle and a rectangle.

We need to determine the length b, the area of the triangle , the area of the rectangle and the area of the irregular figure.

Length of b:

The length of b , the base of the triangle is given by


b=5-(2(1)/(3))

Simplifying, we get;


b=5-(7)/(3)


b=(8)/(3) \ ft

Thus, the length of the base of the triangle is
(8)/(3) \ ft

Area of the triangle:

The area of the triangle can be determined using the formula,


A=(1)/(2)bh

Substituting
b=(8)/(3) \ ft and
h=3 \ ft, we get;


A=(1)/(2)((8)/(3))(3)


A=4 \ ft^2

Thus, the area of the triangle is 4 square feet.

Area of the rectangle:

The area of the rectangle can be determined using the formula,


A=lw

where l = 5 ft,
w=1 (1)/(3)=(4)/(3) \ ft, we get;


A=5 * (4)/(3)


A=(20)/(3) \ ft^2

Thus, the area of the rectangle is
(20)/(3) \ ft^2

Area of the irregular figure:

The area of the irregular figure can be determined by adding the area of the triangle and the area of the rectangle.

Thus, we have;

Area = Area of the triangle + Area of the rectangle

Substituting the values, we have;


Area = 4+(20)/(3)


Area = 10.667 \ ft^2

Thus, the area of the irregular figure is 10.667 square feet.

User Pesho
by
5.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.