Questions on Word Problems: Geometry answered by real tutors!

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Question 355371: a rectangular yard is 20ft by 15ft. The yard is cover with grass except for 8.5ft square flower garden. How much grass is in the yard.
Click here to see answer by vleith(2983)

Question 355410: solve by the substitution method
3x+5y=21
x=51-9y
Click here to see answer by checkley77(12844)

Question 355392: Three times the least of four consecutive integers minus the greatest of the integers equals the next to the least interger, find the integers
Click here to see answer by checkley77(12844)

Question 355471: If the sides of a square are decreased by 2cm, the area is decreased by 36cm2. What were the dimensions of the original square?
Click here to see answer by mananth(16946)

Question 355651: PROBLEM 1. If the area of an equilateral triangle is 36 suare centimeter, find its side length and height.
PROBLEM 2. If a gallon of paint covers 400 square feet, how much gallons are needed to paint two walls each having dimensions 38ft x 25ft.
Click here to see answer by mananth(16946)

Question 356077: find the area of a rectangle with the base of 73 centimeters and height of 3 meters
Click here to see answer by edjones(8007)

Question 356152: two baseball players hit 79 home runs combined last season. the first player hit 7 more home runs than twice the number of home runs hit by the second player. how many home runs did each player hit?
Click here to see answer by mananth(16946)

Question 356108: Please someone help me. I am trying to help my 7th grader with is algebra 1 homework. Here is the problem. The width of a rectangle is one half its length. The perimeter of the rectangle is 24 inches. What are the width and length of the rectangle?
Click here to see answer by edjones(8007)

Question 356177: An 8-slice medium pizza pie has a diameter of 11in an cost $10.99. An 16-slice large pizza pie cost $15.99 and has a diameter of 16 1/2in. What is the area of each size pizza?
Click here to see answer by tmx123(3)

Question 356156: A rectangle plot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk of uniform width. The area of the sidewalk is 68 square meters. Find the width of the sidewalk
Click here to see answer by mananth(16946)

Question 356597: if a regular octahedron has a surfacce area of 48 square inches,what is the area of each face?
Click here to see answer by robertb(5830)

Question 356609: A rectangle box with a base 6 by 8 has a diagonal of length 20. Find the exact height of the box.
Click here to see answer by edjones(8007)

Question 356682: a triangle has two equal sides,and the third side of the triangle is 5 feet shorter than the first side. if the perimeter of the triangle is 40 feet, find the dimension of each side.
Click here to see answer by robertb(5830)

Question 356953: A rectangle is twice as long as it is wide. If the width is increased by 25% and the length is decreased by 25%, the resulting rectangle will have 200 fewer square units of area than the original rectangle. What is the original width of the rectangle?
Click here to see answer by mananth(16946)

Question 356968: Two planes leave St. Louis at the same time. One flies north at 350 mph and the other flies south at 420 mph. How far apart will they be in 2.5 hours?
Click here to see answer by robertb(5830)

Question 356967: The height of Seven Falls in Colorado is 5/2 the height of Twin Falls in Idaho.
The sum of the heights is 420 feet. Find the height of each.

Click here to see answer by robertb(5830)

Question 356969: Roopa Patel won a prize for her sculpture. She invested part of the money in a certificate of deposit at 4% and $3000 more than that amount in a bond paying 6%. Her annual interest income was $780. How much did Roopa invest at each rate?
Click here to see answer by mananth(16946)

Question 357008: The triangle has height (x+1)cm and base (2x-3) cm. It's area is 9 cm squared.
how do you show that 2x squared - x -21 = 0
Click here to see answer by mananth(16946)

Question 357042: The hypotenuse of a right triangle is 4cm less than twice as long as one of the other side. If the third side is 16cm long,how long is the length of the hypotenuse?
Click here to see answer by Alan3354(69443)

Question 357044: The hypotenuse of a right triangle is 4cm less than twice as long as one of the other side. If the third side is 16cm long,how long is the length of the hypotenuse?
Click here to see answer by Alan3354(69443)

Question 357022: A wire 44 inches is cut into 2 pieces each of which is bent into a square. If the sum of the 2 squares is 65 sq. inches how long is each piece of wire?
Click here to see answer by ankor@dixie-net.com(22740)

Question 357130: Please help me.
What kind of a formula can I apply to it?
The diameter of the planet Mercury is approximately 3032 miles. Find the distance around its equator.(Use 3.14 to approximate π.)
Click here to see answer by user_dude2008(1862)

Question 357126: Hello, tutors,
I have a problem.
a spherical weather balloon needs to hold at least 175 cubic feet of helium to be buoyant enough to lift the meteorogical instruments. will a helium-filled balloon with a diameter of 8 feet stay aloft?
What should I solve this problem? The volume? Please let me know the process about this.
Click here to see answer by jim_thompson5910(35256)

Question 357154: 15=30 I don't know how to approch this problem.
New Toy Company is producing a raing car set, complete with plastic track. The track is a solid surface and has a straight edge with circular ends. See the following sketch for dimensions. What is the distance around the outside of track? (Use 3.14 to approximate Pi)
r= 7 and the striaght edge 15 inches.
Click here to see answer by checkley77(12844)

Question 357211: A rectangle's length is 12 in. less than 3 times its width. Find the set of all the possible widths given that the perimeter must be less than 48 in.
Click here to see answer by mananth(16946)

Question 357214: the length of a rectangle is 11 centimeters less than six times its width. Its area is 21 square centimeters. find the dimensions of the rectangle
Click here to see answer by mananth(16946)

Question 357225: At a school supply store, a saleswoman sold 32 notebookes on Monday, some for $1.50 each and the rest for $2.00 each. If her notebook receipts that day totaled $51.00, how many of each type of notebook did she sell?
Click here to see answer by stanbon(75887)

Question 357371: If the circumference of the Earth at the equator is 25,000 miles, find the number of degrees the earth rotates in 2 hours.
Click here to see answer by edjones(8007)

Question 357538: I am trying to build a bookcase. I have 20 feet of lumber. I need the length to be 2 feet more than the width. I also need two shelves in the bookcase. How do I set up the equation to solve this?

Click here to see answer by checkley77(12844)

Question 357609: the formula for the perimeter of a rectangle is p=2l+2w where l is the length and w is the width. a rectangle has a perimeter of 24 inches. find its dimensions if its length is three inches greater than its width.
Click here to see answer by stanbon(75887)

Question 357841: what would the dimensions be for a rectangle with a perimeter of 31ft?
Click here to see answer by Fombitz(32388)

Question 357881: I am looking for a formula to find the distance between opposite corners of a cube with side "s"?
Click here to see answer by Alan3354(69443)

Question 357881: I am looking for a formula to find the distance between opposite corners of a cube with side "s"?
Click here to see answer by Fombitz(32388)

Question 357914: Find the measure of angle that the second hand of an accurate clock rotates in
20 seconds.

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

Question 357914: Find the measure of angle that the second hand of an accurate clock rotates in
20 seconds.

Click here to see answer by ewatrrr(24785)

Question 357974: the base of a triangle is one-third as long as its height. if the area of the triangle is 24 square meters, how long is its base?
Click here to see answer by nerdybill(7384)

Question 357974: the base of a triangle is one-third as long as its height. if the area of the triangle is 24 square meters, how long is its base?
Click here to see answer by solver91311(24713)

Question 357974: the base of a triangle is one-third as long as its height. if the area of the triangle is 24 square meters, how long is its base?
Click here to see answer by ewatrrr(24785)

Question 358130: A ladder leans against a barn with its base 15 feet from the barn. when the ladder is pulled 9 feet further away from the barn, the upper end slides down 13 feet. how long is the ladder?
So far I have tried the Pythagorean theorem but I am not sure where to plug which numbers into. I also know that the ladder is a total of 24 feet away from the barn. Please help me, thanks so much.
Click here to see answer by nerdybill(7384)

Question 358134: An open box is to be made from a square piece of sheet metal by removing a square of side 4 inches from each corner and turning up the edges. If the volume of the box is to be 676 cubic inches, what is the length of the sides of the square of the sheet metal.

Click here to see answer by checkley77(12844)

Question 358301: Lois rode her bike to visit a friend. She traveled 10 mi/h. While she was there, it started to rain. Her friend dorve her home in a car traveling 20 mi/h. Lois took 1.5 h longer to go to her friend's than to return home. How many hours did it take Lois to ride to her friends house?

MY WORK-
r t d
10 mi/h 1.5+t 10(1.5+t)
20 mi/h t 20t
10(1.5+t)=20t
10(1.5+t)=20t
15+10t=20t
15+10t-10t=20t
15=10t
Click here to see answer by mananth(16946)

Question 358317: A, B, and C are the interior angles of a triangle. If B measures the double of angle A and angle C measures 1.5 times angle B. Find the measure of angle C.
(A+B+C=180)
Click here to see answer by ewatrrr(24785)

Question 358367: a building casts a shadow 40 ft long when the sun's angle of elevation is 58 degrees. Find the height of the building.
Click here to see answer by mananth(16946)

Question 358647: The perimeter of a rectangle is 52 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 120 square feet
Click here to see answer by checkley77(12844)

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