Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 53380: Here is a problem that I can't seem to translate: ah! help! :)
Q70: The difference of two numbers is 16. Three-fourths of the larger number is 14 larger than one-half of the smaller number. Find the numbers.
Click here to see answer by ankor@dixie-net.com(15638)

Question 53483: the perimeter of a quadrilateral is 29 inches. The longest side is twice as long as the shortest side. The other two sides are equally long and are 2 inches longer than the shortest side. Find the length of all four sides.
p.s I tried using a table to organize the variables but I can't seem to solve it.
Click here to see answer by stanbon(57243)

Question 53476: I'm supposed to solve, graph and write solution set in interval notation for this problem. And I can't find an example in the book to help me. I was wondering if you could help with the steps and see if it reminds me how to do this. Thanks..
One side of a triangle is three times as long as another side. The third side is 15 centimeters long. If the perimeter of the triangle is to be no greater than 75 centimeters, find the largest lengths that the other two sides can be.

Click here to see answer by EduDragon(8)

Question 53533: In a small rectangular wallet photo, the widith is 7 cm less than the length. If the border (perimeter) of the photo is 34cm, find the length and width
Click here to see answer by tutorcecilia(2152)

Question 53467: I'm supposed to solve, graph and write solution set in interval notation for this problem. And I can't find an example in the book to help me. I was wondering if you could help with the steps and see if it reminds me how to do this. Thanks..
6> or equal to -1 and x< 3
Click here to see answer by tutorcecilia(2152)

Question 53532: In a small rectangular wallet photo, the widith is 7 cm less than the length. If the border (perimeter) of the photo is 34cm, find the length and width
Click here to see answer by checkley71(8403)

Question 53575: Suppose you and a friend are standing on an ice-skating rink and you push off against each other. You will go in opposite directions, but the product of your speed and your weight will be the same as the product of your friend's speed and her weight.
a. suppose the common value of this product is 483, when the units are pounds and miles per hour. Let w = your weight in pounds and let s = your speed in miles per hour. Write an equation that models the situation. Is this an example of inverse variation?
b. Let's say you weigh 105 lbs. How fast will you be traveling after you push off
c. friend weighs 75 lbs. how fast will she be going after you push off?
Click here to see answer by stanbon(57243)

Question 53620: The length of a rectangle is 7 m less than twice the width. If the lenght is decreased bi 1mand the width by 4 m, the perimeter will be 66 m. Find the demensions of the original rectangle.
Click here to see answer by venugopalramana(3286)

Question 53763: The problem is...The length of a rectangular playing field is 5 ft less than twice its width.
If the perimeter of the playing field is 230 ft, find the length and width of the field.
I thought you would go length times width, but for some reason the added numbers are confusing me. wouldnt 5x-2x=230?
Click here to see answer by aaaaaaaa(138)

Question 53465:
My problem is Colton is designing a new logo for the high school hockey team jerseys. He decides to outline the logo with a regular hexagon (6 sides of equal length and 6 interior angles of equal measure) with a side length of 4 inches. What measure should he use for each interior angle in the regular hexagon?

Click here to see answer by stanbon(57243)

Question 53824: For the floor plans given in exercise 27, determine whether the side through the points (2,3) and (11,6) is perpendicular to the side through the points (2,3) and (-3,18). The floor plans for the building (in exercise 27) have the four corners of a room located at the points (2,3), (11,6), (-3,18), and (8,21).
McGraw Hill 6th edition, 7.2, Problem # 28. Thanks!!
Click here to see answer by stanbon(57243)

Question 53849: The perimeter of an isosceles triangle is 100 centimeters. If two sides are equal length and the third side is 10 centimeters longer than the others, find the length of the three sides
Click here to see answer by checkley71(8403)

Question 53861: A triangle has a perimeter of 28 meters . Find the length of each side of the trianle if the two shorter lenghts multiplied together equal the longer side multiplied by 5
Click here to see answer by Nate(3500)

Question 53469: I'm supposed to solve, graph and write solution set in interval notation for this problem. And I can't find an example in the book to help me. I was wondering if you could help with the steps and see if it reminds me how to do this. Thanks..
x< or equal to -2 or x > or equal to 1
Click here to see answer by stanbon(57243)

Question 54292: The area of a rectangular room is 56 square feet. The length is 6 feet less than twice the width. Fin the dimensions of the room.
Click here to see answer by Cintchr(481)

Question 54609: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
I am so stuck I do not even know where to start. Please help!!
Click here to see answer by tutorcecilia(2152)

Question 54798: Can someone help me on this problem?
A rectangular solid has a base with length 10 cm and width 9 cm. If the volume of the solid is 270 cm^3, find the height of the solid. (They gave a hint: The volume of a rectangular solid is given by V = LWH)
Thanks,
Lisa
Click here to see answer by ankor@dixie-net.com(15638)

Question 54812:
The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 52 in., find the width of the rectangle.

I worked this problem and I came up with 9 in. Hope I am right!!
Click here to see answer by stanbon(57243)

Question 54909: 74. An open box is to be made from a square piece of cardboard of dimensions 30 inches by 30 inches by cutting out squares of area x^2 from each corner.
a. Express the volume V of the box as a function of x.
b. State the domain of V.
Click here to see answer by funmath(2925)

Question 54977: Write the equation of the line that passes through the points (3,5) and (-1,10)
Click here to see answer by funmath(2925)

Question 55021: The perimeter of a rectangular corral that has width x feet and length x +40 feet is 2(x) +2(x+40). Simplify the expression for the perimeter. Find the perimeter if x=30 ft.
Click here to see answer by funmath(2925)

Question 55090: The perimeter of a rectangular window is 162 inches. If the height of the window is 80% of the width, find the dimensions of the window.."
Click here to see answer by anjulasahay(30)

Question 55213: The ratio of the measure of a supplement of an angle to that of the complement of the angle is 5:2, what is the measure of the angle?
Click here to see answer by anjulasahay(30)

Question 55353: Please help me find the distance between 2 points. (-3,0) and (4,0)
Click here to see answer by checkley71(8403)

Question 55457: Find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 4 degrees
Click here to see answer by funmath(2925)

Question 56081: 4. A boat is pulled by a winch on a dock, and the winch is 12 feet
> above the deck of the boat. The winch pulls the rope at a rate of 4
> feet per second.
>
> a. Find the speed of the boat when the rope is at a length
> of 15 feet.
> b. What happens to the speed of the boat as it gets closer
> and closer to the dock?
>

Click here to see answer by stanbon(57243)

Question 56172: Volume of a refrigerator. The volume of a rectangular refrigerator is 20 cubic feet. If the top measures 2 feet by 2.5 feet, then what is the height. How can I solve this problem?
Click here to see answer by checkley71(8403)

Question 56520: Good evening, Please help me in these two problems
1) Mitch needs to section off his bean bushes from the rest of his garden. The bean section is 3 feet wide and half again as long. How much cord will he need?
2)The Smithson Building in the downtown area was resurfaced with 1,200 granite sections each 4' x 4’. Last year 30 sections needed to be repaired. What percent of the granite squares needed repair?
Faithfully yours
narah
Click here to see answer by tutorcecilia(2152)

Question 56560: I am having a problem getting this to translate into an equation. I'm good at cirles and rectangles, but trapezoids are really throwing me. Any help is appreciated! Thanks!
Problem #20
A flower garden is in the shape of a trapezoid with bases of 6 yards and 10 yards. The distance between the bases is 4 yards. Find the area of the garden.
Click here to see answer by tutorcecilia(2152)

Question 56558: I am having a problem getting this to translate into an equation. Any help is appreciated! Thanks!
Problem #72
A sum of $1250 is to be divided between two people in the ratio of 2 to 3. How much does each person receive?
Click here to see answer by tutorcecilia(2152)

Question 56666: If the width of a rectangle is 4 1/3 m and the perimeter is 9 7/15 m, what is the length of the base of the rectangle?
Enter a fraction.

Click here to see answer by funmath(2925)

Question 56759: I'm not sure if I'm going about answering this algabraic question right or not. If you could please let me know whether or not I'm on the right track that would be greatly appreciated. The question is as follows:
The length of a rectangle is 10cm more than twice the width. The perimeter of the rectangle is 66cm. FInd the length and width.
This is what I'm doing to solve:
Let x = width
10+2x = length
2(length+width)= Perimeter
solving with this beginning:
x + (10+2x)= 66
Is this the correct procedure to getting my answer or have I forgotten something?
Click here to see answer by funmath(2925)

Question 56903: CAN SOMEONE PLEASE ASSIST:
THE LENGTH OF A RECTANGULAR GARDEN IS 8FT LESS THEN 3 TIMES ITS WIDTH. IF THE PERIMETER OF THE GARDEN IS 48FT, FIND THE DIMENSIONS OF THE GARDEN..
Click here to see answer by Scriptor(36)

Question 56951: In a triangle, the measures of two angles are in the ratio 5:2 and their difference is 15 degrees. Find the number of degrees in the largest angle of the triangle.
Click here to see answer by Edwin McCravy(8882)

Question 56948: A 12 inch by 18 inch rectangular picture is to have a frame of uniform width. If the perimeter of the framed picture is 84 inches, determine the width of the frame.
Click here to see answer by ankor@dixie-net.com(15638)

Question 56987: Can you please help me on the following problem: A rectangle whose perimeter is 144 is 9 feet longer than it is wide. I have to find the dimensions and area, can you please help me.
Click here to see answer by funmath(2925)

Question 57084: THE LENGTH OF A RECTANGULAR GARDEN IS 8FT LESS THAN 3 TIMES IT'S WIDTH. IF THE PERIMETER OF THE GARDEN IS 48FT, FIND THE DIMENSIONS OF THE GARDEN.
IF SOMEONE CAN PLEASE HELP I WOULD APPRECIATE IT
Click here to see answer by Scriptor(36)

Question 57083: A CYLINDER HAS A RADIUS OF 5IN. IF THE VOLUME OF THE CYLINDER IS 250IN^3, WHAT IS THE HEIGHT OF THE CYLINDER? (HINT THE VOLUME OF A CYLINDER IS GIVEN BY V=R^2H)..THANKS IN ADVANCE
Click here to see answer by stanbon(57243)

Question 57024: The length of a room is 4 metres longer than its width. The height of the room
is 3 metres and its volume is 1000m3. Find the length and width of the room.
Click here to see answer by funmath(2925)

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