Questions on Geometry: Area and Surface Area answered by real tutors!

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Question 1184992: A 34-foot ladder is leaning against a building. The base of the ladder is
16 feet from the side of the building. How high does the ladder reach along the side of the building?

Click here to see answer by MathTherapy(10552) About Me 

Question 1184989: When Fidel and Janette were married, his age was 3/2 of her age. If on their
golden wedding anniversary, Fidel’s age will be 8/7 of Janette’s age, how old will
each of them be on their golden anniversary?

Click here to see answer by MathTherapy(10552) About Me 

Question 1185052: A boy rides a bicycle at a certain rate for 5 km then decreases his rate by 2 km
per hour and rode another 6 km. Find his original rate if he rode for a total of 140
minutes.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1185053: An errand boy received Php 75.00 for working a certain number of hours. Had he
received Php 1.25 less an hour, it would taken him 2 hrs. longer to earn the same
amount. For how many hours did he work and how much was he paid an hour?

Click here to see answer by josgarithmetic(39617) About Me 

Question 1185051: A ladder is 25 cm long leans against a vertical wall so that the base of the ladder
is 7 m from the foot of the wall. If the top of the ladder slides 4 m down the wall,
by how many meters will the base of the ladder move away from the foot of the
wall?

Click here to see answer by ikleyn(52786) About Me 

Question 1181241: https://media.discordapp.net/attachments/723023718497910816/849268621393920010/unknown.png?width=399&height=133
Click here to see answer by math_helper(2461) About Me 

Question 1185393: In the figure, O and O' are the centres of the bigger and smaller circles respectively. The smaller circle touches the square ABCD at the midpoint of side AD. The radius of the bigger circle is 30 cm and the side of the square ABCD is 36 cm. Find the radius of the smaller circle.
F
A. 9.25 cm
B. 9 cm
C. 9.45 cm
D. IOcm

Click here to see answer by ikleyn(52786) About Me 

Question 1185395: 3. The coordinates of vertex A of the triangle ABC are (7, -4). If the coordinates of the centroid of the triangle are (1, 2), find the coordinates of the midpoint of the side BC
Click here to see answer by greenestamps(13200) About Me 

Question 1185379: The length and the width of a rectangular parallelepiped are 20m and 30m.Knowing that the total area is 6200m² calculate the height of the box and measure the volume.

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Question 1185477: The area of a rectangle is 35, and its perimeter is 24. Find its dimensions and diagonal.
Longer side:?
Shorter side:?
Diagonal:?

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Question 1185476: The surface area of a cube is 191 cm2. What is the volume of the cube?
Click here to see answer by ikleyn(52786) About Me 

Question 1185499: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory.
What must the width of the lawn be? ?
If the dimensions of the factory are A ft by B ft with A and B= ?

Click here to see answer by josgarithmetic(39617) About Me 
Question 1185499: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory.
What must the width of the lawn be? ?
If the dimensions of the factory are A ft by B ft with A and B= ?

Click here to see answer by ikleyn(52786) About Me 
Question 1185499: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory.
What must the width of the lawn be? ?
If the dimensions of the factory are A ft by B ft with A and B= ?

Click here to see answer by greenestamps(13200) About Me 
Question 1185499: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory.
What must the width of the lawn be? ?
If the dimensions of the factory are A ft by B ft with A and B= ?

Click here to see answer by MathTherapy(10552) About Me 

Question 1185515: 8. An interior decorator is buying wallpaper for two square walls. One wall
is 3 feet wider than the other. If he needs 89 square feet of wallpaper
, what are the dimensions of the wall?

Click here to see answer by ikleyn(52786) About Me 

Question 1185617: A rectangular field has a permit we of 194 feet. The length is 7 feet more than four times the width. What is the length and what is the width?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1185617: A rectangular field has a permit we of 194 feet. The length is 7 feet more than four times the width. What is the length and what is the width?
Click here to see answer by ikleyn(52786) About Me 

Question 1186062: The figure shows an isosceles triangle with equal sides of
length "a" surmounted by a semicircle. What should the measure of angle θ be in order to maximize the total area?
https://imgur.com/a/tyyqfL4

Click here to see answer by math_helper(2461) About Me 

Question 1186340: On a floor plan, a porch in the shape of a trapezoid has an area of 2.5 square feet. If the floor plan has a scale of 1 : 15, what will be the actual area, in square feet, of the porch when it is built?
Click here to see answer by ikleyn(52786) About Me 

Question 1186414: Lucy needs soil for her garden 8 meters in length and 4 meters in width. Each bag of soil can cover 6 squares meter. How many bags of soil does Lucy needs
Click here to see answer by ikleyn(52786) About Me 

Question 1186553: The magnitude of the force (pi+20j) is 29.Find the:
(a) the possible values of p
(b) the direction of the force correct to the nearest degree.

Click here to see answer by Alan3354(69443) About Me 

Question 1186651: A square plot of land which has a building 60 ft long and 40 ft wide at one corner. The rest of the land outside the building forms a parking lot. If the parking lot has area 12000 ft^2, what are the dimensions of the entire plot of land?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1186651: A square plot of land which has a building 60 ft long and 40 ft wide at one corner. The rest of the land outside the building forms a parking lot. If the parking lot has area 12000 ft^2, what are the dimensions of the entire plot of land?
Click here to see answer by greenestamps(13200) About Me 

Question 1186879: Each element of a circular conical pile of sand is 6 ft. high is inclined 40 degrees to the horizontal. How many cubic meters of sand does the pile contain?
Click here to see answer by Alan3354(69443) About Me 

Question 1186986: For her project, avril needs a piece of plywood measuring 0.75 m long and 0.55 m wide. Find the perimeter of the time would she needs in cm.

Click here to see answer by ikleyn(52786) About Me 
Question 1186986: For her project, avril needs a piece of plywood measuring 0.75 m long and 0.55 m wide. Find the perimeter of the time would she needs in cm.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1187113: A car is 4.3m long and 1.72m wide. If a toy model of the car is 2.6cm long, calculate the width of the model.
Click here to see answer by MathLover1(20850) About Me 
Question 1187113: A car is 4.3m long and 1.72m wide. If a toy model of the car is 2.6cm long, calculate the width of the model.
Click here to see answer by ikleyn(52786) About Me 

Question 1187460: In the diagram below, EFGH is a rhombus formed by connecting the midpoints of the sides of the rectangle ABCD. The rectangle is circumscribed by the circle with centre O. Find the area, in cm^2 of the rhombus if Line OF=12 cm, and Line JH=4 cm

Diagram:
https://ibb.co/7RjGv8P

Click here to see answer by ikleyn(52786) About Me 

Question 1187658: Find the area of sector POM of circle O. Give your answer in terms of 𝛑.
Here is a link to the image: https://imgur.com/a/SjpyDB7
For this I got: 2.4𝛑cm^2
Would my answer be correct?

Click here to see answer by MathLover1(20850) About Me 

Question 1188057: The equation in finding the area of a triangle varies jointly as its base and height. The area of a triangle is 12 cm², when base is 4 cm and height is 6 cm. What is the constant of proportionality?
Click here to see answer by ikleyn(52786) About Me 

Question 1188245: In the diagram below, ABCD is a square with sides 8 cm. Arcs of radius 8 cm are drawn with centres at B and D. Find the area of the shaded region, in cm^2

Diagram: https://imgur.com/gallery/YtR3qIy

Click here to see answer by MathLover1(20850) About Me 

Question 1188319: In the diagram, the ratio of the areas of △BED:△DFC is 1:4. If the area of △ABC is 84 cm^2, then the area of parallelogram AEDF, in cm^2 is...
A) 36 and 1/4 B) 39 and 2/3 C) 40 and 3/4 D) 37 and 1/3 E) 38 and 1/3
https://ibb.co/YcFWXMT

Click here to see answer by greenestamps(13200) About Me 

Question 1189225: A pool is twice as long as it is wide and is surrounded by a walkway of uniform width of 1 foot. The combined area of the pool and the walkway is 400 square feet.
Find the dimensions of the pool and the area of the pool,

Click here to see answer by josgarithmetic(39617) About Me 
Question 1189225: A pool is twice as long as it is wide and is surrounded by a walkway of uniform width of 1 foot. The combined area of the pool and the walkway is 400 square feet.
Find the dimensions of the pool and the area of the pool,

Click here to see answer by ikleyn(52786) About Me 

Question 1189358: You have developed a new specialty candy for Dare and have decided to package it using a hexagonal box as shown, with lid and base regular hexagons. Calculate the cost of each package if the material costs $0.07/100cm2.
This is a box in the shape of a hexagonal prism with a height of 6cm and a distance between direct opposite lid corners of 8 cm.



Volume is 432 cm3.

Click here to see answer by greenestamps(13200) About Me 

Question 1189476: In the diagram below, AEFD is a rectangle. G and H are midpoints of
Line EK and Line FK respectively, and K is the midpoint of Line AD.
If the area of the shaded region is 45 cm^2, what is y, in cm?

Diagram: https://imgur.com/a/NJ9cV1f

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1189481: The area of a trapezium is 126cm. If its parrallel sides are 11cm and 17cm. Calculate the vertical distance between the parrallel sides.
Click here to see answer by MathLover1(20850) About Me 

Question 1189543: Boris has 320 meters of fencing. He will use it to form three sides of a rectangular garden. The fourth side will be along a house and will not need fencing.
(a) Find a function that gives the area A (x) of the garden (in square meters) in
terms of x.
A(x) =?
(b) What side length x gives the maximum area that the garden can have?
Side length x : ? meters

(c) What is the maximum area that the garden can have?
Maximum area: ? square meters

Click here to see answer by ikleyn(52786) About Me 

Question 1189507: In the diagram below, Point X is the intersection of the two diagonals TW and UV of the cubical box illustrated. Given that UX is 2 √2 cm, what is the square of the area of triangle XYZ in cm^4
Diagram: https://imgur.com/a/miA6pQf

Click here to see answer by math_tutor2020(3817) About Me 

Question 1189795: A circle with radius 3 cm is tangent to sides PQ, PS, and SR of rectangle PQRS, and passes through the midpoint of diagonal PR. The area of the rectangle PQRS, in cm, is
Click here to see answer by math_tutor2020(3817) About Me 

Question 1190492: In order to compute the area of a particular circle, Juan first measures the length of its diameter. The actual diameter is 20 cm, but Juan's measurement has an error of up to 20%. What is the largest possible percent error, in percent, in Juan's computed area of the circle?


Click here to see answer by Theo(13342) About Me 

Question 1190581: A utility pole is 8 m high. A cable is stretched from the top of the pole to a point in the ground that is 6 m from the bottom of the pole. How long is the cable?

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Question 1190966: Dustin wants to create a large mural to cover part of his wall. He drew a sketch of his design to determine the amount of canvas he needs. The area of the design was 0.3 square feet. If the actual mural will have dimensions 5 times that of the design, how many square feet of canvas will Dustin need?

Click here to see answer by greenestamps(13200) About Me 

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