Question
Asked Sep 30, 2019
3 views
11. Determine the area of the shaded shape in Figure
12.39. The entire figure consists of a 3-unit-by-
3-unit square and a 5-unit-by-5-unit square. Ex-
plain your reasoning.
5
3
5_
Figure 12.39
area of the shaded shape.
Determining the
help_outline

Image Transcriptionclose

11. Determine the area of the shaded shape in Figure 12.39. The entire figure consists of a 3-unit-by- 3-unit square and a 5-unit-by-5-unit square. Ex- plain your reasoning. 5 3 5_ Figure 12.39 area of the shaded shape. Determining the

fullscreen
check_circle

Expert Answer

Step 1

Consider the given figure.

help_outline

Image Transcriptionclose

3 3 -5 -

fullscreen
Step 2

Since, the combined area of two squares is equal to the sum of the areas of the shaded region and the areas of the unshaded triangles.

So, the unshaded triangle on the left below has height 3 units and base 8 units and the unshaded triangle on the right above has height 5 units and base 5 units.

Step 3

Formula us...

help_outline

Image Transcriptionclose

Area of square (side) 1 Area of right angle triangle =xBasexHeight

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Geometry

Mensuration

Related Geometry Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Discuss why is it easy to give an incorrect solution to the following area problem and what you must...

A: Given that "Draw a shape that has an area of 3 square inches".Here it can be misunderstood about the...

question_answer

Q: Find the length between each pair of points.(-1, 6) and (7, 2)

A: Formula used: 

question_answer

Q: Give detailed explanation, easy to understand.

A: Calculate angle D as follows.

question_answer

Q: Find the volume of each regular pyramid and right cone. Round any decimal answers to the nearest hun...

A: Formula used:Volume of right circular cone 

question_answer

Q: Given kite RGBY with RG=RY.  If m∠RGB=94∘  and  m∠YBG=72°, find  m∠YRB.

A: A kite RGBY is given such that RG=RY. The measure of the angle RGB is 94° and the measure of the ang...

question_answer

Q: Draw a map that shows the following route leading to buried treasure: Starting at the old tree, walk...

A: Given,Starting at the old tree, walk 10 paces heading straight for the tallest mountain in the dista...

question_answer

Q: If the line containing the points (a,5) and (7,14) is parallel to another line with slope 3, find a....

A: Let the equation of the line passing the points (a,5) and (7,14)  be; 

question_answer

Q: What is the angle of Angle A in a right triangle whose hypotenuse is 23cm and opposite side is 12cm?

A: Please see the diagram on the white board. It aptly explains the question. ABC is the triangle right...

question_answer

Q: Is 3 Point Geometry a complete geometry? Explain.

A: Yes, the three point geomtry is a complete geometry.Mathematically proving the completeness of a 3 p...