Questions on Word Problems: Geometry answered by real tutors!

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Question 305978: The perimeter of a rectangular playing field is 244 feet. If its length is 2 feet longer than twice its width, what are the dimensions of the field?
Click here to see answer by checkley77(12569)

Question 306420: The measure of the vertex angle of an isosceles triangle is three times the measure of the base angle. Find the measure of the vertex angle?
Thanks.
Click here to see answer by checkley77(12569)

Question 307047: Hello, I had some problems deriving a algebraic equation from this word problem...
The volume of a rectangular box is 64ft^3. If the width is 3 times longer than the height, and the length is 9 times longer than the height, find the dimensions of the box.
The formula for finding the volume of a retangular box is V=lwh.
I came up with 64=9l3wh, but no luck...and suggestions?
Thanks again, you all rock!
Alex
Click here to see answer by jim_thompson5910(28595)

Question 307054: Lorraine has a rectangular flower garden which is five feet longer than it is wide. The longer side of the flower garden is along a fence, as shown in the picture. The flower garden is surrounded on three sides by a gravel walkway, which is 2 feet wide. If the area of the gravel walkway is 72 square feet, then what is the area of the garden?
Click here to see answer by ankor@dixie-net.com(15652)

Question 307160: the Length of a Rectangular Garden is 60 Feet. Its Area is 2400 Square Feet. What is the Perimeter?
Click here to see answer by rfer(12660)

Question 307423: a matte of uniform width is to be placed around a painting so that the area of the matted surface is twice the area of the picture. If the outside dimensions of the matte are 40cm and 60cm, find the width of the matte.
Click here to see answer by mananth(12270)

Question 307422: a playground, which measures 60m by 40m, is to be doubled in area by extending each side an equal amount. By how much should each side be extended?
Click here to see answer by mananth(12270)

Question 307698: Whats the area of a square with an apothem length of 15cm
Click here to see answer by Alan3354(30993)

Question 307856: The width of a rectangular picture is one-half the length. The perimeter is 72 inches. Find the length. IM LOST!
Click here to see answer by mananth(12270)

Question 307854: The perimeter of a rectangular carpet is 70 feet. The width is three-fourth the length. Find the width IM KIND OF LOST!
Click here to see answer by mananth(12270)

Question 307853: One side of a triangle is 5 meters longer than the second side. The third side is four times the length of the second side. If the perimeter of the triangle is 65 meters. How long is the second side?

Click here to see answer by mananth(12270)

Question 307852: One angle of a triangle is 20 degrees. The second angle’s measurement is four times the third. What is the measure of the third angle? HOW I SOLVE THIS?
Click here to see answer by mananth(12270)

Question 307851: The height of a triangle is four time the length of the base. Find length and the height of the triangle if the area is 18 square inches.
Click here to see answer by mananth(12270)

Question 307954: draw a rectangle that has an area of 6 square centimetres and a perimeter of 14 centimetres.
Click here to see answer by TX911(36)

Question 308057: what is the radius of a circle with 6ft diameter
Click here to see answer by checkley77(12569)

Question 307975: mandy is para-sailing wth her friends. the rope from the powerboat to mandy's sail is 200 feet long. mandy is 75 ft above the water. what is the angle of elevation from her friends to mandy
Click here to see answer by scott8148(6628)

Question 308166: You are given two strings, each string burns completely in exactly 1 hour. the string does not burn in a uniform rate. (ie) It might burn 10 inches in 10 second and 1 inch in 10 minutes, but it takes the string exactly 1 hour. you have 2 strings and matches, how do you find exactly 45 minutes. you dont have a watch or clock.
Click here to see answer by scott8148(6628)

Question 308515: Pat measures the length of the shadow of a tree to be 54 feet long. At the same time he measures his own shadow to be 12 feet long and his height to be 5 feet. how tall is the tree in feet?
Click here to see answer by rapaljer(4667)

Question 308574: The perimeter of a rectangular concrete slab is 82 feet and its area is 418 square feet. What is the length of the longer side of the slab?
I started by making two seperate equations, one for perimeter and one for area. I came up with 2L+2W=82 and L*W=418. I don't know where to go from here.

Click here to see answer by rapaljer(4667)

Question 308635: The Perimeter of a triangle is 240 mm. If the longest side is seven times the length of the smallest side and the other side is four times the length of the smallest side. find the lengths of all both sides.
Click here to see answer by mananth(12270)

Question 308930: A tree that has been cut down and is leaning against a wall at a point 12 feet above the ground. If the tree makes a 48 degree angle with the ground,how long is the tree?
Click here to see answer by mananth(12270)

Question 309017: how long must a wire be in order to reach from the top of a 13-m telephone pole to a point on the ground 9 m from the base of the pole?
Click here to see answer by mollukutti(30)

Question 309195: Find the dimensions of a rectangular lawn whose perimeter is 100 feet and whose area is 600 square feet.
Click here to see answer by nyc_function(2733)

Question 309322: A rectangular fish tank has a base 2 feet wide and 3 feet long. When the tank is partially filled with water, a solid cube with an edge length of 1 foot is placed in the tank. If no overflow of water from the tank is assumed, by how many inches with the level of the water in the tank rise when the cube becomes completely submerged?

Click here to see answer by mananth(12270)

Question 309367: The second angle of a triangle is 3 times as large as the first. The third angle is 55 degrees more than the first. Find the measure of the smallest angle.

Here is something I have come up with:
a=3b
c=a+55

Click here to see answer by nyc_function(2733)

Question 309462: What is the length of a diagonal of a rectangle with a length of 8 meters and the width of 6 meters?

F. 10 G. 14m H. 48m J.100m
Click here to see answer by JBarnum(2044)

Question 309665: The perimeter of Triangle ABC is 306 inches. Find the lengths of the sides.
My problem is that I am not sure what formula to use.
AB=_____ in BC=_______in AC=______in
Click here to see answer by checkley77(12569)

Question 309646: The Golden Ratio.
The anceint greeks thought that the most pleasing shape for a rectangle was one for which the ratio fo the length to the width was approximately 8 to 5, the golden ratio. If the length of a rectangular painting is 2 ft longer thann it's width, then for what demensions would the length and width have the golden ratio?
Click here to see answer by checkley77(12569)

Question 309811: An ecology center wants to set up an experimental garden using 300 m of fencing to enclose a rectangular area of 5000m2. Find the dimensions of the garden.
Click here to see answer by stanbon(57347)

Question 309857: what does it mean by the length is 4 inches longer than twice the width?
Click here to see answer by Alan3354(30993)

Question 309857: what does it mean by the length is 4 inches longer than twice the width?
Click here to see answer by unlockmath(1599)

Question 309901: A steel drum in the shape of a right circular cylinder is required to have a volume of 100 cubic feet
Click here to see answer by Alan3354(30993)

Question 308885: draw retangle and inside draw the same figure 10 times what is the figure
Click here to see answer by Alan3354(30993)

Question 310123: The length of a rectangular garden is 6 feet longer than its width. If the area of the garden is 55 square feet, find its length and width.
Click here to see answer by Alan3354(30993)

Question 310281: At a certain time of the day, a vertical yardstick casts a 15-inch shadow.What is
the height in feet of a flagpole that casts a shadow 20 feet long at the same time
of the day?
Click here to see answer by vleith(2825)

Question 310291: The perimeter of a rectangle, given that the length is x yards and the width is 10 yards shorter

Click here to see answer by mananth(12270)

Question 310676: The perimeter of an equilateral triangle is at most 57 feet. What could the length of a side be?
Click here to see answer by solver91311(16885)

Question 310692: The first of two numbers added to two times the second equals9. The first number decreased by the second equals 3. Find the numbers.
Click here to see answer by texttutoring(324)

Question 310653: The length of a rectangle is six feet more than the width, If the perimeter is 32 feet, what are the length and the width?
Click here to see answer by checkley77(12569)

Question 310796: my opposite angles have equal measures. my consecutive angles are supplementary. none are right angles. all my sides are congruent. what polygon am i?
Click here to see answer by scott8148(6628)

Question 310878: If the endpoints of line segment AB are a(-4,5) and B(2,-5) what is the length of line segment AB?
Click here to see answer by solver91311(16885)

Question 310878: If the endpoints of line segment AB are a(-4,5) and B(2,-5) what is the length of line segment AB?
Click here to see answer by Earlsdon(6287)

Question 310935: 110 meters long and 70 meters wide. To the nearest tenth of a meter, how long is a diagonal of the field?

Click here to see answer by palanisamy(496)

Question 310984: Find the dimensions of a rectangle with a perimeter of 112 cm if the length is 4 cm less than four times the width.
Click here to see answer by PRMath(123)

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