Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 1049525: Elliot, the architect, is planning a new building project. He has a
rectangular plot of land on which to build. He knows that the length is
three more meters than the width and that the perimeter is 42 meters.
What are the dimensions of the rectangle?
Click here to see answer by jorel555(1290) |
Question 1049572: Cynthia Besch wants to buy a rug for a room that is 14 ft wide and 29 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 250 square feet of carpeting. What dimensions should the rug have?
Click here to see answer by ikleyn(52778)  |
Question 1049858: A sail on a sailboat is in the shape of two adjacent right triangles. The hypotenuse of the lower triangle is 10 ft, and one leg is 2 ft shorter than the other leg. Find the lengths of the legs of the lower triangle.
Preview of the problem: http://s9.postimg.org/p9lwajdin/Picture1.png
Click here to see answer by jorel555(1290) |
Question 1050040: A rectangular fish tank measures 5 feet long, 3 feet wide, and 2 feet deep. If a guppy requires 1.3 cubic feet of water, what is the maximum number of guppies that can live in this tank? Show all work and round your answer to the nearest whole guppy.
Click here to see answer by josgarithmetic(39617) |
Question 1050137: New carpeting is being installed in a rectangular office. In order to know how much carpeting to buy, the area of the office must be calculated. The perimeter of the office is 40 feet and the ratio of its length by its width is 3:2. What is the area (in square feet) of the office?
Click here to see answer by addingup(3677)  |
Question 1050137: New carpeting is being installed in a rectangular office. In order to know how much carpeting to buy, the area of the office must be calculated. The perimeter of the office is 40 feet and the ratio of its length by its width is 3:2. What is the area (in square feet) of the office?
Click here to see answer by josgarithmetic(39617) |
Question 1050137: New carpeting is being installed in a rectangular office. In order to know how much carpeting to buy, the area of the office must be calculated. The perimeter of the office is 40 feet and the ratio of its length by its width is 3:2. What is the area (in square feet) of the office?
Click here to see answer by ewatrrr(24785)  |
Question 1050944: The measure of the smallest angle of a triangle is
one-fifth
the measure of the largest angle. The measure of the second angle is
95 degrees°
less than the measure of the largest angle. Find the measure of the angles of the triangle.
Click here to see answer by stanbon(75887) |
Question 1051181: Please help me how to solve this problem.Thanks.
Ramon wants to fence in a rectangular portion of his back yard against the back of his garage for a vegetable garden. He plans to use 68 feet of fence, and needs fence on only three sides. Find the maximum area he can enclose. (Hint: The lengths of the 3 fenced sides of the rectangle must add up to 68.)
Click here to see answer by rothauserc(4718)  |
Question 1051514: Zaria and Maisie joined the National Math Club, and during the first club meeting they played Fence
Me In. In the game, Zaria and Maisie were given two six-sided dice and a game board that was a
20unit by 20-unit grid. During each turn, one player rolled the dice and calculated the product of
the two numbers that were rolled. This product could be considered either the area of a rectangle, in
units squared, or the perimeter of a rectangle, in units. The player then had to draw a rectangle with
either that area or that perimeter and with integer dimensions (necessarily the same as the two
numbers rolled) on the game board. Zaria and Maisie took turns rolling the dice and then drawing a
rectangle. If either was unable to draw a rectangle in the remaining area, the player would lose a
turn. Play continued until the entire board was completely filled with non-overlapping rectangles.
How many possible products can Zaria and Maisie roll?
What is the area of the largest possible rectangle that
can be drawn during a turn in this game?
If Zaria rolled a 3 and a 6 on her first turn, how many
different sized rectangles could she draw?
What is the minimum number of rectangles it could
possibly take for Zaria and Maisie to completely fill the
game board?
Click here to see answer by stanbon(75887) |
Question 1051459: Macy is trying to construct an isosceles triangle. She assigns an angle measurement of 40° to the unique angle of the triangle. She wants the length of the opposite side (the base) to be 6 centimeters. How many isosceles triangles can Macy construct using this information?
Click here to see answer by solver91311(24713)  |
Question 1052083: A road sign indicating falling rocks is in the shape of an equilateral triangle, with each side measuring 100 centimeters.
a. Use the Pythagorean theorem to find the height of the triangle.
b. Find the area of the sign.
Click here to see answer by Alan3354(69443)  |
Question 1052145: A carpenter is building a rectangular bookcase with diagonal braces across the back, as shown. The carpenter knows that mangle ADC is a right angle and that mangle BDC is 34° greater than mangle ADB. Solve an equation to find mangle BDC and mangle ADB.
evaluate27
The measure of angle BDC is ° and the measure of angle ADB is °.
Click here to see answer by addingup(3677)  |
Question 1052345: Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal, with mean μ = 7100 and estimated standard deviation σ = 2450. A test result of x < 3500 is an indication of leukopenia. This indicates bone marrow depression that may be the result of a viral infection.
(a) What is the probability that, on a single test, x is less than 3500? (Round your answer to four decimal places.)
(b) What is the probability of x < 3500? (Round your answer to four decimal places.)
(c) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.)
Click here to see answer by Boreal(15235)  |
Question 1052752: Mr Flores has a circular fountain with a radius of 5feet. He plans on installing a brick path around the fountain. (Shows small circle 5ft radius then outer circle 9 ft with line from center dot to outer line of second circle. ) If each brick covers 2 square feet, how many bricks will he need?
Help please
Click here to see answer by josgarithmetic(39617) |
Question 1052752: Mr Flores has a circular fountain with a radius of 5feet. He plans on installing a brick path around the fountain. (Shows small circle 5ft radius then outer circle 9 ft with line from center dot to outer line of second circle. ) If each brick covers 2 square feet, how many bricks will he need?
Help please
Click here to see answer by MathTherapy(10551)  |
Question 1052752: Mr Flores has a circular fountain with a radius of 5feet. He plans on installing a brick path around the fountain. (Shows small circle 5ft radius then outer circle 9 ft with line from center dot to outer line of second circle. ) If each brick covers 2 square feet, how many bricks will he need?
Help please
Click here to see answer by ikleyn(52778)  |
Question 1052618: A house number is displayed on a plaque in the shape of a regular 7-sided polygon. The area of the plaque is 70 squared inches. The perpendicular distance from a side to the center is 5 inches to the nearest inch. What is the perimeter of the plaque?
Click here to see answer by htmentor(1343)  |
Question 1053336: The sides of an equilateral triangle have the same length as the length of a rectangle. The length of the sides in the rectangle are 4 in longer than the width. The perimeter of the rectangle is 6 in more than the perimeter of the triangle. Find the width of the rectangle.
Click here to see answer by ewatrrr(24785)  |
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