Questions on Word Problems: Geometry answered by real tutors!

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Question 261612: the measures of 2 angles in a triangle are equal. The third angle measures 2 times the sum of the equal angles. Find the measures of the three angles.
Click here to see answer by mananth(12270) About Me 

Question 261584: the perimeter of a rectangle is 240 inches. Find the length and the width of the rectangle if the length is twice the width.
Click here to see answer by unlockmath(1599) About Me 

Question 261724: A square and an equilateral triangle have equal perimeters. The area of the triangle is 16sqrt%283%29+cm%5E2. How long, in centimeters, is a diagonal of the square? Express your answer in simplest radical form.
Click here to see answer by richwmiller(9135) About Me 

Question 261760: A piece of wire 57 inches long is cut into two pieces, and two rectangles are formed from the pieces. If you want the sum of the areas of the two rectangles to be as large as possible, how long should you make the pieces?
Click here to see answer by solver91311(16868) About Me 

Question 261824: If the sides of a square are lengthened by 8 cm, the area becomes 289 cm^2. Find the length of a side of the original square.
The length of a side of the original square is?

Click here to see answer by 20071436(1) About Me 

Question 261825: Televisions sets; What does it mean to refer to a 20 inch TV set or a 25 inch TV set? Such units refer to the diagonal of the screen. A 25 inch TV set also has a width of 20 inches. What is its height?
Click here to see answer by checkley77(12569) About Me 

Question 261917: A rectangular lawn is 45 feet long and 30 yards wide. Find the perimeter in feet. Then find the perimeter in yards.
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Question 262181: find the measure of an angle whose complement is 29 times
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Question 262179: the perimeter of a rectangular plot of land is 40m. the length is three times the width. calculate
the width
the length
the area of the plot

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Question 262275: how to make 20 yards of fence into a rectangle

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Question 262391: a sprinkler has a radius of 50 feet. what is the maximum circumference this sprinkler can cover?
Click here to see answer by drk(1908) About Me 

Question 262407: Llong is 5 ft tall and is sanding in the light of a 15-ft lamppost. Her shadow is 4 ft long. If she walks 1 ft farther away from the lamppost, by how much will her shadow lengthen?
Click here to see answer by richwmiller(9135) About Me 

Question 262414: A pentagon (a five-sided figure) can be divided into 3 triangles. If you added up all the angles in the divided pentagon, how many total degrees would you get? Briefly explain how you arrived at your answer.
Click here to see answer by Edwin McCravy(8882) About Me 

Question 262559: The equation y=15x-100 describes the amount of money a high school class might earn from a paper drive. What are the slope and y-intercept for this equation.
Click here to see answer by Alan3354(30983) About Me 

Question 262612: Clint is constructing two adjacent rectangular dog pens. Each pen will be three times as long as it is wide, and the pens will share a common long side. If clint has 65 ft of fencing, what are the dimensions of each pen?
Click here to see answer by mananth(12270) About Me 

Question 262741: Given a rectangular prism with dimensions w = 3, l = 4, and h = 6. If you created a second rectangular prism with the length doubled but the height halved (and the width stays the same), which would be the relation of the second volume to the first volume?
Click here to see answer by drk(1908) About Me 

Question 262700: There is a square of side 6cm . A circle is inscribed inside the square. Find the ratio of the area of circle to square.
Click here to see answer by unlockmath(1599) About Me 

Question 262852: im having a hard time with this problem,please help! if the length of a rectangular parking lot is 20 meters less than twice its width,and the perimeter is 800 meters,find the length of the parking lot.
Click here to see answer by josmiceli(9661) About Me 
Question 262852: im having a hard time with this problem,please help! if the length of a rectangular parking lot is 20 meters less than twice its width,and the perimeter is 800 meters,find the length of the parking lot.
Click here to see answer by dabanfield(803) About Me 

Question 262958: The perimeter of a rectangle is 300 yards. What are the demensions of the rectangle if the length is 40 yards more than the width?
Click here to see answer by rfer(12647) About Me 

Question 262972: The square is divided into 4 congruent rectangles. If the perimeter of the square is 144 units, what is the perimeter of one of the four congruent rectangles?
Click here to see answer by sunitha.pratapani(4) About Me 

Question 262957: A worker will lay out wood frames in two rectangles, and will pour concrete into these frames for a small patio. The length of each rectangle is 2 feet more than its width. if the total length of the wood to be used is 64 feet, find the LEGNTH and WIDTH of the rectangles. ( ignore the thickness of the wood)
Click here to see answer by mananth(12270) About Me 

Question 263035: I can't find the right answer I don't think to this problem.
A landscape architect has included a rectangular flower bed measuring 9 ft by 5 ft in her plans for a new building. She wants to use two colors of flowers in the bed, one in the center and the other for a border of the same width on all four sides. If she has enough plants to cover 24 square feet for the border, how wide can the border be?
I use an equation of (5-2x)(9-2x)=24
I foil it, make it equal 0 to look like 4x^2-28x+21=0
The end result I get is 14 +/- 4 sqrt 7 over 21
That, if I am correct, comes out to a 0.585 ft border, which is too small.
I don't get it.
Thank you.

Click here to see answer by Earlsdon(6287) About Me 

Question 263084: I need some help: a square light-switch plate is made which measures 4 inches on each side. A square hole measuring 1 inch on each side is left in the center. It will cost $2.75/square inch, what is the construction cost? I am totally lost with this question.
Click here to see answer by ankor@dixie-net.com(15638) About Me 

Question 263103: a rectangle is twice as long as it is wide. the perimeter is 60 feet. find the dimensions
Click here to see answer by drk(1908) About Me 

Question 262990: A square with side length s is inscribed as in an equilateral triangle with side length t. What is the ratio t : s? Express your answer as a decimal to the nearest thousandth.
Click here to see answer by Edwin McCravy(8882) About Me 

Question 263273: Construct a truth table for q ↔ (p ~q)
Here is what I did not sure if it is right, but I am trying can you please review it for me I have 5 more I'm working on.
q ↔ (p ~q)
p……….q……….P ....~q
T……….T…….…T..F..F
T……….F..……T..T..T
F……….T….……F..F..F
F……….F…...F.…F..T

I am totally confused someone suggested that I look at the Google website truth table but it just further confused me.
Thank you so much for your help.

Click here to see answer by stanbon(57246) About Me 

Question 263344: how can i find the perimeter of a rectangle that is 70m and the length is 5m more than twice the width find the dimension.
Click here to see answer by richwmiller(9135) About Me 
Question 263344: how can i find the perimeter of a rectangle that is 70m and the length is 5m more than twice the width find the dimension.
Click here to see answer by georgiabh(4) About Me 

Question 263436: a park is in the shape of a rectangle 4 km long and 3km wide. you are walking from point a to point b how much shorter is your walk diagonaly across the park rather than along of its 2 sides?
Click here to see answer by richwmiller(9135) About Me 

Question 263462: Below is a diagram of a water slide. The slide is 29 ft long. The ladder leading to the top of the slide is long. How far is it from the end of the slide to the foot of the ladder?
Click here to see answer by Alan3354(30983) About Me 

Question 263610: An open box is to be constructed from a square piece of sheet metal by removing a square of side 6 inches from each corner and turning up the edges. If the box is to hold 294 cubic inches, what should be the dimensions of the sheet metal?
Click here to see answer by drk(1908) About Me 
Question 263610: An open box is to be constructed from a square piece of sheet metal by removing a square of side 6 inches from each corner and turning up the edges. If the box is to hold 294 cubic inches, what should be the dimensions of the sheet metal?
Click here to see answer by stanbon(57246) About Me 

Question 263582: a gardener has 61 feet of fencing to be used to enclose a rectangular garden that has a border 2 feet wide surrounding it. If the length of the garden is to be twice its width, what will be the dimensions of the garden?
Click here to see answer by josmiceli(9661) About Me 

Question 263653: A farmer decides to enclose a rectangle garden,using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can inclose with 60 ft of fence? What should the dimensions of the garden be to give this area?
Click here to see answer by rfer(12647) About Me 
Question 263653: A farmer decides to enclose a rectangle garden,using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can inclose with 60 ft of fence? What should the dimensions of the garden be to give this area?
Click here to see answer by richwmiller(9135) About Me 

Question 263632:
Decide whether or not the points are the vertices of a right triangle.
(-9,-3), (-3,-1), (1,-13)

Click here to see answer by jim_thompson5910(28504) About Me 

Question 263662: A rectangular piece of sheet metal is 3 in. longer than it is wide. If the length and width are both increased by 2 in. the area increases by 34 in squared. What are the original dimensions of the sheet metal?
Click here to see answer by oberobic(2304) About Me 

Question 263596: A piece of wire 40cm long is to be cut into two pieces. One piece wil be bent to form a circle; the other will be bent to form a square. Find the lengths of the two pieces that cause the sum of the area of the circle and square to be a minimum.
Click here to see answer by ankor@dixie-net.com(15638) About Me 

Question 263732: A cubical box measures 35 centimeters on each side. If the contents are worth $0.19 per cubic centimeter, how much are the contents worth? (Hint: Use V = s3)

Click here to see answer by mananth(12270) About Me 

Question 263934: two congruent squares touch at one corner. One side of the square measures 3 cm. The triangle created from two of the common sides is a right triangle. Find the area (to the nearest tenth) of the entire figure.

Click here to see answer by jim_thompson5910(28504) About Me 
Question 263934: two congruent squares touch at one corner. One side of the square measures 3 cm. The triangle created from two of the common sides is a right triangle. Find the area (to the nearest tenth) of the entire figure.

Click here to see answer by CharlesG2(828) About Me 

Question 263940: If 100 feet of fence is used to enclose a rectangular yard, find the length and the width that give max area.
Click here to see answer by CharlesG2(828) About Me 

Question 264026: The sum of the
measure of the interior angles in a
triangle is 180°.The measure of the
second angle is 15° more than the
measure of the first angle.The measure
of the third angle is 45° more
than the measure of the first angle.
Find the measures of the interior angles in the
triangle.

Click here to see answer by JBarnum(2044) About Me 

Question 264089: A rectangle has a perimeter of 15.4cm and an area of 14.4cm squared. Find the dimensions of the rectangle?
Click here to see answer by Greenfinch(383) About Me 

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