Questions on Word Problems: Geometry answered by real tutors!

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Question 505888: Jennie left home on her bicycle for a long distance ride. Pam left 3 hours later on her motorcycle carrying her lunch. Pam traveled at 42 mph and caught jeannie in 1.5 hours. How fast was jeannie traveling?
Click here to see answer by ankor@dixie-net.com(22740)

Question 506378: The perimeter of a triangle is 124.
The first side is 6cm less than 3 times the second. The 3rd side is 10cm more than the second. what are the lengths of each side?
Click here to see answer by Sarah900(12)

Question 506905: A back yard is in the shape of a rectangle 50 ft. Long and 25 ft. Wide. What is its perimeter ?
Click here to see answer by jim_thompson5910(35256)

Question 507117: Smedley has just drawn two rectangles. The length of the first rectangle is 4cm more than the length of the second. The width of the first is 9cm. The width of the second is 6cm. If the area of the first rectangle is 96 square cm greater than the area of the second, find the length of each.
I tried: I drew rectangles. And my equation was [9(x+4)]+96=6x
9x+36+96=6x
9x+132=6x
132=-3x
Divide by 3.
X=-44
First of all it can't be negative, second... It doesn't work. I checked it and it doesn't work out.
Click here to see answer by ankor@dixie-net.com(22740)

Question 507086: Mandy, Callie, and Kate were running a race of 1500 meters. Mandy won. At the moment when Mandy crossed the finish line, she was 300 meters ahead of Callie and 420 meters ahead of Kate. If Callie and kate kept running at the same rates as they have run so far, how many meters ahead of Kate will Callie be when she crosses the finish line? HINT: answer isn't 120.
Okay so basically i put the the numbers at which Kate and Callie have gone over the total number of meters(1500) by simplifying and finding a common denominator(25) i next tried to divide 1500 by 25 to divide the path they ran and I got 60. Which basically led me back to where I started.
Thankyou!
Click here to see answer by ankor@dixie-net.com(22740)

Question 507358: A small business has an initial investment of
$8176. The unit cost of the product is $11,
and the selling price is $22.
How many units must be sold to break
even?
Answer in units of units
Click here to see answer by stanbon(75887)

Question 507508: B. A 10-inch by 21-inch cake is cut into 35 equal pieces. If the width of each piece is exactly two-thirds of the lenght, how long is each piece?

C. Alejandro makes a grid pattern out of 1-inch swuares. The pattern is a rectangle measuring 14 inches by 15 inces. Alejandro colors some of the squares blue and some of the swares white. There are 22 more white swuares than blue squares. How many white squares are there? How many blue squares are there?
Click here to see answer by oberobic(2304)

Question 507525: if the diameter of a circle is 3meters, what is the perimeter of the smallest
square that can fully contain the circle?

Click here to see answer by oberobic(2304)

Question 507528: The number of inches in both the length and the width of a rectangle are prime numbers. The area of the rectangle is 391 square inches. What is the number of inches in the perimeter of the rectangle?

Click here to see answer by ankor@dixie-net.com(22740)

Question 507628: I have been trying to calculate this problem for a few days and keep getting a negative answer.
"A rectangular garden has a perimeter of 24 yards. Fencing across the length costs $3 per yard and along the width $2 per yard. The total cost of the fencing is $62. Find the length and width of the rectangle"
So I set up the equation as follows:
X= length
Y= Width
2x+2y=24
3x+2y=62
The way I set it up may be my problem.
Click here to see answer by scott8148(6628)

Question 508291: I cut a 28-ft wire into two pieces. One piece is 20ft shorter than the other, how long is each piece?
Click here to see answer by swincher4391(1107)

Question 508359: You want to install a hardwood floor in a rectangular room. The floor has a perimeter of 76 feet and a length of 25 feet.
(a) What is the width of the floor?

Click here to see answer by Maths68(1474)

Question 508116: The length of a rectangle is four times the width. If the perimeter of the rectangle is 210 feet find the length.
Click here to see answer by Maths68(1474)

Question 508563: a 5-foot-tall student casts a shadow 7 feet long. at the same time,a flagpole casts a shadow that is 35 feet long. how many feet tall is the flagpole?
Click here to see answer by stanbon(75887)

Question 508811: One side of a triangle is half the longest side. The third side is 17 feet less than the longest side. The perimeter is 78 feet. Find all three sides
Click here to see answer by rfer(16322)

Question 508896: Ali paints with watercolors on a sheet of paper 20 in. wide by 15 in. high. He then places this sheet on a mat so that a uniformly wide strip of the mat shows all around the picture. The perimeter of the mat is 118 in. How wide is the strip of the mat showing around the picture?
Click here to see answer by oberobic(2304)

Question 508956: 19 1/2-foot ladder leans against a building. The base of the ladder is 7 1/2 ft from the building. How high up the building does the ladder reach?
Click here to see answer by mananth(16946)

Question 508947: The length of a rectangle is twice the width.The perimeter is 84 cm more that the width.
Click here to see answer by xdragonfight(116)

Question 508947: The length of a rectangle is twice the width.The perimeter is 84 cm more that the width.
Click here to see answer by MathTherapy(10551)

Question 509055: One side of a triangle is half the longest side. The third side is 12 feet less than the longest side. The perimeter is 53 feet. Find all three sides!
Click here to see answer by lwsshak3(11628)

Question 509155: Determine the conclusion of the conditional statement: If the lengths of the sides of a rectangle are 6 inches and 4 inches, the area is 24 square inches.
Click here to see answer by swincher4391(1107)

Question 509624: i have a parking lot that is 152 yards long and 80 yards wide how much would it cost to pave
Click here to see answer by Earlsdon(6294)

Question 509870: At work one day, Erica Franz received 22 packages. Speedy Delivery delivered four times as many as ralph's Express, while Ralph's express delivered two more than Send Quick Package. How many packages did each service send to Erica?
Click here to see answer by Maths68(1474)

Question 510859: In a triangle, the measures of the second angle is 6 times the measure if the first angle. The measure of the third angle is 18 less than the sum of the measures of the second angle and the square of the first angle. Find the measure of each angle.
I tried this problem, but I got stuck after the 2nd equation which included finding the square of the first angle.
Click here to see answer by scott8148(6628)

Question 511037: a flower garden has the shape shown. the diameter of the outer circle is three times the diameter of the inner circle. the lengths of the walkways are 8 feet long. what is the diameter of the inner circle?
Click here to see answer by richard1234(7193)

Question 511470: The area of a rectangle is 77 square inches. If the width is seven, find the length
Click here to see answer by John10(297)

Question 511524: The length of a rectangle is 3cm longer than twice the width. the area of the rectangle is 90sqcm. Find the length and width of the rectangle
Click here to see answer by oberobic(2304)

Question 511535: The area of a rectangle is 12 meters. If its width is 2 4/7 meters, find its length.
Click here to see answer by oberobic(2304)

Question 511535: The area of a rectangle is 12 meters. If its width is 2 4/7 meters, find its length.
Click here to see answer by stanbon(75887)

Question 511535: The area of a rectangle is 12 meters. If its width is 2 4/7 meters, find its length.
Click here to see answer by MathLover1(20849)

Question 511619: pls.answer the question.please i nid it badly.each side of a square concrete platform is 8.7 meters long.the platform is 0.2 meter thick.compute the no.of cubic meter of concrete contained in the platform

Click here to see answer by Alan3354(69443)

Question 512004: IF the surface area of a sphere is 20 square centimeters, what is the radius?
Click here to see answer by Alan3354(69443)

Question 512160: you have 80 ft of fencing to enclose a rectangular yard. The yard is 10 ft wide by 30 ft long. What is the area of the rectangular yard?
Click here to see answer by rfer(16322)

Question 512381: what is the square footage of a triangle that has a base of 25 feet and a height of 13 feet?

Click here to see answer by Sarah900(12)

Question 512615: Brian is putting a fence around his garden. The garden is 4ft wide and 7ft long. He has 10yd of fence. Does he have enough fence to put a fence all the way around his garden?
Click here to see answer by rosey51235(30)

Question 512628: a triangle has a base of 48in and a height of 3ft. what is its area in square feet?
Click here to see answer by solver91311(24713)

Question 512670: the sunof 41 and w + 26
Click here to see answer by rfer(16322)

Question 512706: please help me tutor! and could you please show me how you got the answer so i know how to do the next problem like this in the future.
i made a pot of sour lemon milk for four people using one quart of milk and 2.8 oz of lemon pulp. Now Scales likes extra lemon in his milk, so he added .5 oz pulp to his glass. Now how much lemon pulp is in Scales glass?
Now a plain everyday cloak costs $4.70 and a fancier model costs $5.50, Mummy Woman is always telling me to splurge on myself because i deserve it. So, how much more money will i need for the fancy cloak if ive already collected 18 bottles to recycle for $.20 each?
Click here to see answer by ankor@dixie-net.com(22740)

Question 512873: Three squares with areas of 150 cm2, 54 cm2, and 24 cm2 are displayed on a computer monitor. What is the sum (in radical form) of the perimeters of these squares
Click here to see answer by mananth(16946)

Question 512959: if the sum of the lengths of two sides of a triangle is 18, what is the largest possible integral value for the 3rd side?

Click here to see answer by Alan3354(69443)

Question 512959: if the sum of the lengths of two sides of a triangle is 18, what is the largest possible integral value for the 3rd side?

Click here to see answer by stanbon(75887)

Question 513039: find the perimeter of a triangle if one side is 10 feet, another side is one-third the perimeter, and the third side is half the perimeter

Click here to see answer by umail08(87)

Question 513038: find the perimeter of a triangle if one side is 10 feet, another side is one-third the perimeter, and the third side is half the perimeter
Click here to see answer by umail08(87)

Question 513268: a rectangular pool is twice as long as it is wide. What are the dimensions of the pool if the perimiter is 42 yd?
Click here to see answer by solver91311(24713)

Question 513351: A carpenter is building a wood frame. The height of the frame is 1 ft less than three times the width. What is the width of the largest door frame that can be constructed from a board 19 ft long?
Click here to see answer by solver91311(24713)

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