Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

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)

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(19441)

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(16322)

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(35256)

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)

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(22740)

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(16946)

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(35256)

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(834)

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(2146)

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)

Question 264103: Angle FGH is equilateral with FG = x+5, GH = 3x-9, and FH = 2x-2
Click here to see answer by scott8148(6628)

Question 264129: a rectangular field is 900 yards by 240 yards. What is the greatest number of rectangular lots of 120 yards by 60 yards that it can be divided into?
Click here to see answer by checkley77(12844)

Question 264267: if the length of a rectangluar parking lot is 9 meters less than twice its width, and the perimeter is 342 meters, find the length of the parking lot.
Click here to see answer by drk(1908)

Question 264407: An ice cube that measures 4.5 centimeters on each side contains how many cubic centimeters of ice?
Click here to see answer by Alan3354(69443)

Question 264407: An ice cube that measures 4.5 centimeters on each side contains how many cubic centimeters of ice?
Click here to see answer by stanbon(75887)

Question 264526: Time to swing. The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T2 =π^2L. If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing?
Click here to see answer by stanbon(75887)

Question 264173: Volume of a can of coke
If a can of coke contains 12 fluid ounces and the diameter of the can is 2.375 in., then what is the height of the can?(one fluid ounce equals approximately 1.8in.3rd.)
Click here to see answer by ankor@dixie-net.com(22740)

Question 264866: A rectangle has length x units and width y units. The rectangle has the
same perimeter as an equilateral triangle with a side of m units.Find x in terms of m and y.

(A) m + y (B) m - y (C) 3m - 2y (D) 1/2(m+y) (E) 1/2(3m-2y)
Click here to see answer by JBarnum(2146)

Question 265011: One angle of a triangle is twice as large as another. The measure of the third angle is 20 degrees more than that of the smallest angle. Find the measure of each angle. Note: in the book it has a pic. 1st angle is x, 2nd is 4x, and the third is 5x.
Click here to see answer by stanbon(75887)

Question 265233: The perimeter of a rectangle is 116centimeters. The length is .1meter graeter than twice the width. What is the length? show all your work.
Click here to see answer by rfer(16322)

Question 265319: I just can't figure out how to solve this word problem. I get confused with fractions.
An architect designs a rectangular flower garden such that the width is two-thirds of the length. If 260 feet of antigue picket fencing are to be used to enclose the garden, find the dimensions of the garden.
I am so confused and would really appreciate help with this one!
Click here to see answer by ankor@dixie-net.com(22740)

Question 265430: A piece of wire 64 centimeters in length is cut into two parts. Each part is then bent to form a square.The total area of the two squares is 130 square centimeters.
How much longer is a side of the larger square than a side of the smaller square?

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

Question 265691: A leather coin purse has the shape of a triangle. Two sides are equal in length and the third side is 3 centimeters shorter than one and one-half times the length of the equal sides. The perimeter is 28.5 centimeters. Find the lengths of the sides.
Click here to see answer by solver91311(24713)

Question 265853: "Arctic Antifreeze" is 18% alcohol and "Frost No-More" is 10% alcohol. How many liters of Arctic Antifreeze should be mixed with 7.5oz of frost no-more in order to get a mixture that is 15% alcohol?

Click here to see answer by mananth(16946)

Question 265852: A rectangle is 2 times as long as it is wide. If the area is 50 square feet, find its perimeter.

Click here to see answer by JBarnum(2146)

Question 266012: This word problem is on combinations..
How many ways can a student select five questions from an exam containing nine questions?How many ways are there if he must answer the first question and the last question?
Click here to see answer by Edwin McCravy(20055)

Question 266071: Area of triangular sail is 193 square feet, if the base is 16 feet long, what is the height?
Click here to see answer by dabanfield(803)

Question 266207: A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 16 feet by 25 feet and the area of the rug is 220 square feet, how wide will the border be?
Click here to see answer by ankor@dixie-net.com(22740)

Question 265849: a rancher decides to build a silo. the rect. measures 22m by 11m and the silos base is circular with a diameter of x metters. Find a polynomial for the remaining area of the corral after silo is built.
Click here to see answer by ankor@dixie-net.com(22740)

Question 266265: Two opposite sides of a square are increased by twenty-five percent while the other two are decreased by forty percent. Find the percent of decrease in the area of the square.
(A) 15% (B) 25% (C) 30% (D) 32.5% (E) none of these

Click here to see answer by stanbon(75887)

Question 266263: the sum of the measures of the angles in triangle is 180 degrees. in a quadrilateral, the sum is 360 degrees.find an equation relating n , the number of sides in a polygon, and the sum of its angles,S.
Click here to see answer by Alan3354(69443)

Question 266213: You are hiking along the California coast and wonder about the height of a particular Giant Redwood tree. You are 5 feet and nine inches tall and your shadow is 5 feet long. The shadow of the tree is 165 feet long. How tall is the tree?
Click here to see answer by ankor@dixie-net.com(22740)

Question 266392: A small garden is divided by a fence into two square halves as shown. The perimeter of the garden is also fenced. The area of the garden is 32 squared meters. The total cost of the fencing is $36. What is the cost of one meter of fence?
Click here to see answer by rfer(16322)

Question 266431: What is the length of the diagonal of a right rectangular prism with dimensions l = 5cm, w = 4 cm, and h = 3 cm?

Click here to see answer by drk(1908)

Question 266538: How many 2 by 2 by 2 cubes must be added to an 8 by 8 by 8 cube to make a 10 by 10 by 10 cube ?

Click here to see answer by Alan3354(69443)

Question 266537: A rectangle with sides of 30- and 40- units is placed with its center at the origin of a Cartesian coordinate system. When the rectangle is rotated around the origin, what is the maximum y- value any vertex of the rectangle will achieve?
Click here to see answer by Alan3354(69443)

Question 266645: a triangle is 10cm wider that it is tall, the area is 28cm squared. find the height and base
Click here to see answer by drk(1908)

Question 266668: You have 700 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a function of one of its dimensions, x.
Click here to see answer by drk(1908)

Question 266801: the perimeter of a rectrangular backyard is 6x+6 yards. if the width x yards, find a binomial that represents the length.
Click here to see answer by stanbon(75887)

Question 267025: An equilateral triangle and a regular hexagon have the same perimeter . what is the ratio of the area of the hexagon to the area of the triangle ?
Express your answer as a common fraction

Click here to see answer by CharlesG2(834)

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