A square barn measures 42ft on each side. A goat is tethered outside by a rope that is attached to one corner of the barn. Suppose that the length of the rope is 28 ft. On approximately how many square feet of land is the goat able to graze?

Q: A tank that is 8 feet deep, with a square bottom with sides 6 feet each, has 3 feet of oil that…

A:

Q: A frame that measures 8 inches by 11 inches is of uniform width. The area of the picture inside is…

A:

Q: a rectangle tank is 4ft. by 6ft. by 4ft. gasoline weighs approximately 42lb/ft3. find the weight of…

A: Dimension of tank= 4ft by 6ft by 4ft . Volume of tank when it is full= 4x6x4…

Q: A vacant lot is being converted into a community garden. The garden and the hallway around its…

A: Let the width of the walkway=x ft

Q: A rectangular table has an area of 27ft? and a perimeter of 24ft. What are the dimensions of the…

A: Given that, A rectangular table has an area of 27 ft2 and a perimeter of 24 ft.

Q: A farmer has a 25 ft by 100 ft rectangular field that he wants to reduce to 54% of its original…

A:

Q: A frame that measures 13 inches by 9 inches is of uniform width. The area of the picture inside is…

A: Recall: Area of the rectangle: l(length)×b(breadth)

Q: A pipeline, is approximately 700 mi long. Assuming that it has a uniform 60 in. inside diameter,…

A:

Q: If the owner of the airplane in the previous question wanted a single 120 gallon tank install the…

A: Here we will find the length of tank required,

Q: A rectangle sheet of metal has length three times the width. Three inch squares a cut from each…

A:

Q: An open box is to be made by cutting small squares from the corners of rectangular board and then…

A: let "x" be the length of the side of the square cut.Length= 8-2xWidth = 6-2xHeight =xVolume =…

Q: A 6 ft board is cut into two pieces, one twice as long as the other. How longare the pieces?

A: Let the length of one piece = x ft length of other piece = 2x ft

Q: A tank, measuring 30cm x 40cm x 50cm, contains 2 identical cubes. Water is then poured into the tank…

A: Given data is : A tank, measuring 30cm x 40cm x 50cm, contains 2 identical cubes Volume of…

Q: A rectangular garden has a length of 7 3/6 ft and a width of 2 1/3 feet. How much fencing is needed…

A: Formula for perimeter of rectangle;       Perimeter=2(Length+Width)

Q: A tank that is 54 feet deep, with a square bottom with sides 7 feet each, has 29 feet of oil that…

A: Consider the equation

Q: Find the cost of excavating a space 81 ft long, 45 ft wide, and 9 ft deep at a cost of $39/yd3.

A:

Q: A property owner wants to fence a garden plot adjacent to a road, as shown in the figure. The…

A:

Q: A balloon 30.7 m in radius is to be filled with helium. How many m3 of helium are needed to fill it?

A:

Q: Martha wants to buy a rug for a room that is 27 ft wide and 33 ft long and wants to leave a strip…

A:

Q: The area of the wings of a small Cessna is 195 ft2. If the length is 34 ft longer than the width,…

A: We have to find out dimension of rectangle

Q: A tank that is 59 feet deep, with a square bottom with sides 6 feet each, has 20 feet of oil that…

A:

Q: A company makes square-pyramid-shaped tents with a height of 6 feet and a base with a side length of…

A:

Q: A rectangular lawn measures 80ft by 100 ft. Part of the lawn is torn up to install a sidewalk of…

A: A rectangular lawn measures 80ft by 100 ft. Part of the lawn is torn up to install a sidewalk of…

Q: A chain, 90 ft long, weighs 4 lbs/ft and hangs over the edge of a building 100 ft high. a. How much…

A: Chain is 90 feet long and hanged up from height of 100 feet. So it's already 10 feet above the…

Q: A rectangle has an area of 228 ft² and a length that measures 12ft. Find the perimeter of the…

A:

Q: A farmer has a 40 ft by 50 ft rectangular field that he wants to reduce to 10% of its original size.…

A: Let's find.

Q: the top of a table is a parllelogram with a base of 28cm and a height of 20cm . patty wants to cover…

A: From the given information, the area of the top of the table is, 28 cm×20 cm=560 cm2.

Q: A triangle window has an area of 600in². The base of the window is three times its height. What is…

A:

Q: The length of a rectangular garden is 4 ft longer than its width. The garden has a wall along one…

A:

Q: A 6 ft board is cut into two pieces, on twice as long as the other. How longare the pieces?

A: Let the length of first piece = x ft Length of secind piece = 2x ft

Q: A uniform cable hanging over the edge of a tall building is 40 feet long and weighs 60 pounds. How…

A:

Q: Find the cost of excavating a space 87 ft long, 45 ft wide, and 6 ft deep at a cost of $39/yd3

A: From the given information, it is observed that the dimension of excavating a space is 87 ft × 45 ft…

Q: Artificial turf is being used to cover a playing field. If the field is rectangular with a length of…

A: Given, the rectangular field is having length as 140 yd and width of 70 yd. Thus, the artificial…

Q: An airplane wing casts a shadow on the ramp that is 12 ft. wide at one end, 7 ft. wide at the other…

A:

Q: A boat is 6 m below the level of a pier and 12 m from the pier as measured 12 m across the water.…

A: Consider the vertical distance between the pier and boat be 6 m and horizontal distance in boat and…

Q: A cardboard box with the dimensions of 20*15*5 (lwh), is used by a compnay to package laptops. If…

A:

Q: How many cubic feet of soil must be excavated to make a railroad embankment 200 ft long if a cross…

A: Solve by using mensuration formulas

Q: A concrete sidewalk is to be be built around the outside of the corner lot that measures 140ft by…

A: Hence area of sidewalk =1575 ft2

Q: An open box is to be made from a square piece of married by cutting  4 cm squares from each corner…

A: Given, The volume of the finished box is 324 cm3.The side of the cutting squares is 4 cm.To find the…

Q: A frame that measures 14 inches by 13 inches is of uniform width. The area of the picture inside is…

A: Given frame is 14 inch×13 inch with uniform width x inch. Area of the picture inside is 30 square…

Q: How many 1-cm squares does it take to construct a square that is 1 m on each side?

A: The length of the square on each side  Area of the square  But

Q: The area of a triangular-shaped wall is (10x? + 20.5x + 14) m². The base of the wall is (4x + 7) m…

A:

Q: An artist is contracted to paint a mural on the rectangular side of a building. If the dimensions of…

A:

Q: A farmer has a 25 ft by 40 ft rectangular field that he wants to reduce to 10% of its original size.…

A:

Q: The length and width of a room measure 8 yards by 3 yards, and the walls of the room are 8 feet…

A: Given, 1 yard = 3 feet length = 8 yards =24 feet width = 3 yards = 9 feet height = 8 feet The total…

Q: An open rectangular box, 1 m long, 70 cm wide and 50 cm deep, is painted on the inside and outside.…

A: Area

Q: The diameter of the cake is 12 centimeters, and the area of one slice of cake is 4π cm2. In terms of…

A:

Q: The volume of a sphere is 2,240 yd³. What will be the new volume if the dimensions are multiplied by…

A: First find radius and multiply by one fourth then use volume formula

Q: How many inches of molding will it take to frame a picture with dimensions 8 x 12 inches if there is…

A: Given Data: The length of the picture is: L=8 inches The width of the picture is: W=12 inches The…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.