Opening ExerciseGiven the pictured quadrilateral, find the exact value of:a.the perimeter of the quadrilateralBCthe area of the quadrilateralDb. How do we find the area of a triangle when the baseand height are not easily identified?One way to do this is to inscribe the triangle inside ofa rectangle. This will create a shaded region problemusing a rectangle with triangles that we can easilyidentify the bases and heights of.BExample 1Find the area of the triangle pictured above.Example 2Find the area of ADOG.D

Answered: Image /qna-images/answer/8fe259da-de6d-4ff8-ab88-0583aad67e07.jpg

Answered: а. the perimeter of the quadrilateral C…

Math

Geometry

а. the perimeter of the quadrilateral C A D the area of the quadrilateral

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 40E: Square RSTV is inscribed in square WXYZ, as shown. If ZT=8 and TY=15, Find athe perimeter of RSTV...

See similar textbooks

Related questions

Q: 3. What is the radius of the circle passing through the vertex and endpoints of the latus rectum of ...

Q: Problems 7 to 10, is it possible to construct a triangle with the given side ingths? If not, explain...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 5- 10 -5

Q: Which two triangles are congruent by the SAS Theorem? Complete the congruence statement. B.

A: Given, The triangles are shown below : To find : Whcih two triangles are congru...

Q: What is the circumference of a circle with a radius of 1.9 feet? use pi=3.14

A: To find the circumference of a circle with a radius of 1.9 feet.

Q: 4" What is the area of the shaded region above? Round your answer to the nearest hundredth.

A: Given query is to find the area of the shaded region.

Q: The perimeter of a triangle is 24 and with ratio of interior angles of 1:2 : 6. Determine the area o...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 19. The axis of symmetry of a parabola is x = - 6 and its vertex is at (-2, 3). Solve the following....

Q: K 217 N M L

Q: 17. 72 ft 15 ft 21 ft 24 ft

Q: PQ and QS are tangent to ON. What is the value of x? P 2x+3 3x-6

Q: 4. 5. 5.

Q: 4C are diameters of circle P. The length of PB is What is the length of DC?

Q: Find the measure of the x, of arc DA. Upload a picture of your work. 53 degrees

A: Given: - A cyclic Quadrilateral with angles, ∠D=76°, ∠A=83°, and ∠BC⏜=53° To find: - The measure of...

Q: 1. The solid-line figure is a dilation of the dashed-line figure with center of dilation D. Is the d...

A: Dilation

Q: A square pyramid has base edges that measure 9 in and a slant height of 6 in. Solve for the surface ...

A: Surface Area of a square Pyramid : a2 +2al ; where , 'a' is the side of the base and 'l' is the slan...

Q: Problem 20: Find the equation of the hyperbola with center at the origin, a vertex at ( 0, 3 ) and a...

A: This question is based on standard equation of hyperbola equation.

Q: Find R of the function Y = f(x) = vx %3D

Q: Now here is a challenge! I want you to draw the graph of x +2y=9. Afterwards, determine the length o...

A: We have to find length of Segment of given Line.

Q: Consider a triangle ABC like the one below. Suppose that A=123°, C=26°, and a=46. (The figure is not...

Q: II. Identification: A. Answer the following. Refer to the given figure. 1-2.) Given a kite LOVE, wha...

A: LOVE is a kite. Find perpendicular bisector of OE

Q: Complete the proof that APST = ARQT. R P S Statement Reason 1 PS I PR Given 2 QR = PS Given 3 QR I P...

Q: 80° 74° 140° bo b° a° 40° 90; 53; 100 Find the value of each variable. Lines that appear to be tange...

Q: While the coordinate axes separate the Cartesian plane into 4 subsets (quadrants), the xy plane, xz ...

Q: Find the length of the missing side. The triangle is not drawn to scale. 17 15

Q: 4. An altitude is drawn inside an equilateral triangle creating two smaller triangles. Which of the ...

Q: State if each angle is an inscribed angle. If it is, name the angle and the intercepted arc. 2) 1) 4...

Q: 3. Solve for X. O 2 O 5 O 25 O 75

Q: are you feeling about the skills on this assessment? Circle where you're at. Proficiency Level: V.2 ...

Q: Line 1: (-3, 1), (-7,- 2) Line 2: (2, – 1), (8, 4) The slope of line 1 is The slope of line 2 is

A: Given: Line 1 : ( -3 , 1) , ( -7 , -2) Line 2: ( 2 , -1 ) , ( 8 , 4 )

Q: В In Exercises 1-5, use the graph of AABC. 1. In AABC, show that the midsegment ED is 2 parallel to ...

A: Since you have posted multiple questions , as per our guidelines we will answer the first 3 question...

Q: The equation of the circle is X +Y² = 11 what is the center of this circle

A: Given equation is a standard form of equation of circle

Q: Given is a spherical cap whose base radius is 1.5 ft. The radius of the whole sphere is 2 ft. Solve ...

Q: 1. Solve the length of the indicated sides using Figure 1. a. LA= b. AY= 2x + 2 С. ОТ- 3x 5х — 10 Y ...

Q: What is the area of the triangle? 0.5 yd. 0.4 yd. | square yards Submit

Q: 16. The standard form of the parabola is (y - 5)² = 12(x + 3). Solve the following. ola d. length of...

A: This is a problem of conics section. Based on the general formula of conincs we will answer the ques...

Q: considering the following conditional: if the figure is triangular prism, then it contains five face...

A: The objective is to write the contrapostive of the conditional.

Q: A company markets exercise DVDs that sell for $19.95, including shipping and handling. The monthly...

Q: Y ZWXY = LDEF; WY = DF; all radii are congruent. 12.6 5. 5. 4.9 %23 6.3 %23

A: solution

Q: Problem 10: The ceiling in a hallway 10m wide is in the shape of a semi - ellipse and is 9m high at ...

Q: Step 1 Using a straightedge, draw an obtuse triangle. Label the vertices as A, B, and C. Step 2 Draw...

A: We have to construct an obtuse triangle with the vertices A, B, and C. Then we have to draw a perpen...

Q: ANALYZING RELATIONSHIPS In the diagram, JKLM EFGH. Find the scale factor of JKLM to EFGH. 65° 30 H3 ...

Q: Tis the midpoint of QS and PR and PS QR. Complete the proof that APST = ARQT. R. Statement Reason Ti...

A: Note: A segment midpoint divides the segment into two congruent segments.

Q: Q3) A) Find the Range and the Domain (for two only). 1 1. у %3 x+1 1 2. у %3D 3. у%3D х2 + 1

Q: A If RY=12 and RA=6, explain how to get AS.

Q: Terry is feeling crafty and wants to put a ribbon border on her boring clock to jazz it up a bit. If...

Q: -2, Jina the distance between the answers in simplest radical form. 1. J(4,-1) and K(7, 5)

Q: Which are the center and radius of the circle with equation (x + 5)2 + (y - 4) = 9? OA. (-5, -4); r ...

A: The given equation of the circle is: (x+5)2+(y-4)2=9...(1) The standard equation of the circle is: (...

Q: 2. Consider a square ABCD and an equilateral triangle BCE in its exterior. Let F be the midpoint of ...

Q: 60° y 10 V3

A: We have to find missing side lengths x and y

Question

Opening Exercise
Given the pictured quadrilateral, find the exact value of:
a.
the perimeter of the quadrilateral
B
C
the area of the quadrilateral
D
b.

How do we find the area of a triangle when the base
and height are not easily identified?
One way to do this is to inscribe the triangle inside of
a rectangle. This will create a shaded region problem
using a rectangle with triangles that we can easily
identify the bases and heights of.
B
Example 1
Find the area of the triangle pictured above.
Example 2
Find the area of ADOG.
D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Square RSTV is inscribed in square WXYZ, as shown. If ZT=5 and TY=12, find athe perimeter of RSTV bthe area of RSTV Exercises 39, 40
Square RSTV is inscribed in square WXYZ, as shown. If ZT=8 and TY=15, Find athe perimeter of RSTV bthe area of RSTV
Find the perimeter of the room in Exercise 35.
Square RSTV has diagonals RT and SV not shown. If the diagonals are drawn, how will their lengths compare? Do the diagonals of a square appear to be perpendicular?