18. The area of the trapezoid is 169 cm?. The point of intersection of the diagonals divides each of them into segments whose lengths are in relation5:8.Calculate the areas of the triangles into which the diagonals have divided the trapezoid.

18. The area of the trapezoid is 169 cm?. The point of intersection of the diagonals divides each of them into segments whose lengths are in relation5:8.Calculate the areas of the triangles into which the diagonals have divided the trapezoid.

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

Section8.5: More Area Relationships In The Circle

Problem 16E: The approximate area of a triangle with sides of lengths 3 in., 5 in., and 6 in. is 7.48 in2. What...

See similar textbooks

Related questions

Q: 2 towns A and B are situated 3km and 4km from a main road as shown in the diagram. Where should the…

A: Let J is x km away from point C. So JD=6-x

Q: 1. A carousel, with a diameter of 20 m, has 12 horses spaced around the circumference at equal…

A: Please see the answer in the next step.

Q: 6. Find the area of a quadrilateral having sides AB = 10 cm, BC = 5 cm, CD = 14.14 cm and %3D DA =…

A: Introduction: The area of a quadrilateral is the place that is occupied by the quadrilateral.…

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must,by…

A: Consider the given statement. Let x be the border of the pool. Draw a rough diagram for the given…

Q: 1. If the length of the radius of the base of the cone is r, what is the area of its base? 2. If the…

A: Given radius of base of cone is r we have to find the area of its base

Q: What is the surface area of an equilateral triangular pyramid with base side length of 11 cm, base…

Q: A cube has an edge of length 30. A rectangular solid has edge of lengths 20, 30 and L. If the cube…

A: Given: A cube has an edge of length 30. A rectangular solid has an edge of lengths 20, 30 and L.…

Q: What is the area of a trapezoid with bases of length 4 cm, 1.4 cm, and a height of 3 cm? O 4.05 cm2…

A: We have to find the area of trapezoid

Q: A rectangular field measures 12 m long and 18 m wide. It will be equaly partitioned into small…

A: Length of rectangular field is l=12 m and width is b=18 m. Area of the rectangular field is A=lb…

Q: Two regular pentagons have the areas 147 ft2 and 12 ft2. What is the ratio of their perimeters?

A: Let the area of two pentagon be A1=147 ft2 and A2=12 ft2 To find the ratio of the perimeter.

Q: A 10 in long wire is to be cut into two pieces. One piece will be bent to form a square and the…

Q: Find the ratio in lowest terms of 66 turns of a filament coil to 220 turns of the primary coil. O…

Q: 2. The top and bottom ends of a windshield wiper blade are 34 in. and 14 in., respectively, from the…

A: Consider the formula for the arc subtended by the angle θ is s=rθ. Here, s is the length of the arc…

Q: O A cubical box is enlarged by e 3cm in length and width and 4em so that the resulting volume is…

Q: 20. The diagonals of a rectangular trapezold have a length 13 cm and 15 cm and the difTerence in the…

Q: The composite figure below contains a rectangle, an isosceles trapezoid, and two equal parts of a…

Q: What is the surface area of an equilateral triangular pyramid with base side length of 9 cm, base…

Q: In a regular polygon with each side of length 6.5 cm, the perimeter is 130 cm. How many sides does…

A: A regular polynomial is a polynomial in which all the angles are equal and also all the sides are…

Q: 29 - If the diameter of a sphere is 14 crm, then what is the curved surface area (in cm?) of the…

Q: A 6 cm by 15 cm by 18 cm rectangular prism is cut into three pieces that are 1/2, 1/3, and 1/6 of…

A: We know that, Area of base = length*breadth and Area of walls = 2(length + breadth)*h where h is the…

Q: Find to the three places of decimals the radius of the circle whose area is the sum of the areas of…

Q: 35.) What is the volume of a square pyramid with a base edge of 14 m and a slant height of 25 m?

Q: Consider the regular hexagon shown on the coordinate plane. To the nearest whole number, what is the…

A: Given , Regular hexagon with coordinates , (-4,0) , (-2,3.5) , (2,3.5) , ( 4,0) , ( 2,-3.5) and…

Q: Suppose that each of the bases of the hexagonal prism below has an area of 14 cm2 and that each…

A: Mensuration Question

Q: 4) What is the AREA (in terms of Tt) of the ENTIRE circle Q if QR = 7cm?

A: 4) Given: QR = 7cm To find: Area of the circle

Q: 4. Find the depth of a prism having a Cross sectional area of 60cm³ and 500cm

A: Find the depth of a prism.

Q: 1. The volume of a right prism is 234 cu.m. with an altitude of 15 m. If the base of the prism is an…

Q: Suppose that each of the bases of the hexagonal prism below has an area of 16 cm2 and that each…

Q: A triangular prism has a rectangular edge of 45cm and volume of 90cm^3. It is cut into identical…

A: Given, Edge of the triangle prism = 45 cm Volume = 90 cm3 Volume of the small prism = 10 cm3

Q: Suppose that a copper sphere of radius 3 cm is beaten and drawn into a wire of diameter 0.2 cm. What…

Q: 23.) To the nearest whole number, what is the surface area of a cone with radius of 14 cm and a…

A: Given Radius = 14 cm and Slant = 18 cm

Q: The net of a square pyramid is shown in the diagram. 8 in. 9 in. What is the total surface area of…

Q: 2. A circle with radius 7cm has half its area removed by cutting off a border of uniform width. Find…

A: We have to find width of border.

Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of Y. If…

Q: The basic edges of a hair triangular prism are 10 cm. 17 cm and 21 cm. Calculate the area of a…

A: Use the formula to find the semi-perimeter- To find the area of intersection of the prism, use the…

Q: A cabinet maker wants to make a simple open cab- inet as shown at right. If the middle shelf is to…

A: Solve according to the question

Q: What is the surface area of a rectangular pyramid with base side length of 4 cm, base side width of…

A: Given Data: The length of the rectangular base is: l=4 cm The width of the rectangular base is: w=9…

Q: I. Determine the length of face diagonal (d), length of diagonal of a solid (D), lateral surface…

Q: 19.) What is the surface area of a rectangular prism with length of 20.1 m, a width of 6.8 m, and a…

A: Length, l = 20.1 m breadth, b = 6.8 m height, h = 7.4 m Surface area of rectangular prism, A = 2(l*b…

Q: A cube has a volume of 512 in3. Wht is the length of each side of the cube?

Q: What is the area of a trapezoid with bases of length 4 cm, 1.6 cm, and a height of 2 cm? O 2.8 cm2 O…

Q: What is the surface area of an equilateral triangular pyramid with base side length of 9 cm, base…

A: This is a Equilateral triangular pyramid . That means we need to use the area formula for triangles…

Q: A square based prism and a cylinder both have the same height of 4cm^3, based on the concepts of the…

Q: What is the area of a trapezoid with bases of length 2 cm, 0.6 cm, and a height of 2 cm? O 5.2 cm2 O…

A: Topic:- area of trapezoid

Q: 2. A trapezoid 6 m in altitude have bases of 12 m and 18 m respectively. If it is divided into two…

Q: Please write detail explaination, approach and so on

A: Length of the diagonal of the square = 13' - 9"1' = 12"Hence, length of diagonal in inches = 13 x 12…

Q: What is the area of a regular decagon with an apothem of 3.8 cm and a side length of 2.5 cm? O 47.5…

Q: What is the area of a trapezoid with bases of length 3.3 cm, 1.5 cm, and a height of 2.9 cm? O 3.48…

A: We can find the area as below.

Q: 1. Calculate the area of the parallelogram below. 2m 1.8m 2.5m O 3.6 m? O 6.5 m2 O 4.5 m2 O 5 m?

Q: 1. Find the volume of a regular octahedron if one edge is measured as 10 cm.

Question

18. The area of the trapezoid is 169 cm?. The point of intersection of the diagonals divides each of
them into segments whose lengths are in relation5: 8. Calculate the areas of the triangles into which
the diagonals have divided the trapezoid.

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 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
The approximate area of a triangle with sides of lengths 3 in., 5 in., and 6 in. is 7.48 in2. What is the approximate length of the radius of the inscribed circle?
In a regular polygon with each side of length 6.5 cm, the perimeter is 130 cm. How many sides does the regular polygon have?
Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to form parallelogram VWSY, which has an area of 16units2. Find the length of VW-.
Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?
As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in. are cut from the corners of a rectangular piece of poster board that is 20 in. wide by 30 in. long. Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
The farmer in Exercise 33 has decided to take the fencing purchased and use it to enclose the subdivided plots shown. aWhat are the overall dimensions of the rectangular enclosure shown? bWhat is the total area of the enclosure shown?