A board, 38 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 3 cm longer than the second. Find the length of the shorter piece.

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A: Let the length of the box is = x cm  width= y cm.  Given height= 2 cm  So the volume=2xy

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A: We have to  find the length of each pieces.

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A:

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Q: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. If the…

A: Let x be the width and y be the height of the printed area.Then, it is given that xy=1536…

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Q: A​ triangular-shaped deck has one side that is 4 feet longer than the shortest side and a third side…

A: Given A​ triangular-shaped deck. Let the shortest side be x feet. So according to the question; one…

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Q: a rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are…

A: A rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are…

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A: To find the dimensions for minimum area, we need to find function of area in terms of either width…

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Q: 220 ft of fence are used to enclose a rectangular field as well as divide the field into two equal…

A: Let x and y be the length and width of a rectangle.

Q: the length of a rectangular field exceeds the width by 260 yards. If the perimeter of the field is…

A: the length of a rectangular field exceeds the width by 260 yards. If the perimeter of the field is…

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A: AnswerLet x,y be the length and width of printedareaGiven area of printed area  A=864 cm2  xy=864…

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A:

Q: The second side of a triangular deck is 4feet longer than the shortest​ side, and the third side is…

A: We have given,

Q: the perimeter of a quadrilateral (four sided polygon) is 54 inches. The longest side is three times…

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Q: A farmer with 800 ft of fencing wants to enclose a rectangular area and then divide it into four…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the figure, the…

Q: one rectangle is (2x+1)cm wide and (3x+2) cm long. another rectangle is (4x-2) cm wide and (5x+1) cm…

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Q: A rectangular sandpit has a perimeter of 13.8 meters and the length is 2.5 meters longer than the…

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Q: An 84 cm wire is cut into three pieces. The second piece is 4 cm longer than the first piece and the…

A: Given that an 84 cm wire is cut into three pieces. Let, the first piece is x cm. given that second…

Q: There are 170 boxes with equal sides and sizes. What would be the size of each box in order to fit…

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Q: pieces

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Q: A farmer has 1200 meters of fence and wants to construct a rectangular pasture. The pasture will be…

A: Explanation of the answer is as follows

Q: A wire that is 75ft long is cut into 3 pieces. One piece is 2 feet longer than the shortest piece,…

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Q: One side of a rectangular yard is bounded by the side of a house. The other three sides are to be…

A: Let the length of the fence opposite to the house is = x ft So, the length of the other two sides=…

Q: A cube shaped box has a volume of 125 inches.  If the box is packed full of cubes with edge lengths…

A: Vbigger box = 125  cubic inchEdge length of small cube = 1 inchVolume of one small cube, Vsmall cube…

Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

A:

Q: The length of a rectangular pool is to be four times its width, and a sidewalk of width 6 feet will…

A: Lets assume width of a rectangular pool = x So length of a rectangular pool = 4x

Q: A rectangular piece of cardboard, whose area is 143 square centimeters, is made into an open box by…

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Q: A rectangle has an area of 210 cm and a perimeter of 58 cm. What are its dimensions? Its length is…

A: We have to find length and width

Q: the contractor loves the color green, how many cans of green paint is needed to paint the water tank…

A: In this question we will use basic concepts of geometry. We will simply calculate the total surface…

Q: A string is cut into two pieces such that one piece is four times as long as the other. How long is…

A: In this question we have to find how long the shorter piece.

Q: There is a rectangular rug with area 108 square feet and it has a diagonal that measures 15 feet.…

A: The given rectangular rug has area 108 square feet and has the diagonal 15 feet. Consider the length…

Q: From each corner of a square piece of sheet metal, remove a square of side9 centimeters. Turn up the…

A: Volume=11cm3 h=9cm

Q: A rod 25 feet long is cut into two pieces such that one piece is 9 feet longer than twice the length…

A: Given: A 25 feet long rod cut into two pieces.

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 2 cm. If the area of…

A: Given,The printed area of the poster = 388 cm2.Let ‘x’ be the width of the printed poster.Let ‘y’ be…

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 2 cm. If the area of…

A: Let the width of the printed area= x And the height of the printed area=y  Area of the printed…

Q: A wire with length L is cut into two parts. Each part is bent to form a square. If the areas of the…

A: Suppose side of a square is a unit then note the following result : Area of the square is a2 square…

Q: The base of a pyramid is a rectangle with a width of 6 centimeters and a length of 8 centimeters.…

A: Volume of rectangular pyramid is  V = lwh/2

Q: A 10 foot board is to be cut into 2 pieces so that the length of the longer piece is 1 foot longer…

A:

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of…

A: Given:         Let x be the length ( in cm ) of the printed material and y be the width ( in cm ) of…

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 4 cm. If the area of…

A: Let's find.

Q: A rectangular piece of cardboard, whose area is 168 square centimeters, is made into an open box by…

A: Consider a rectangle  piece of cardboard whose length is x centimeters, breadth y centimeters and…

Q: a farmer with 750 feet of fencing wants to enclose a rectangular area and then divide it into four…

A:

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 3 cm. If the area of…

A: Given that:- 1.  length of each box in top row is of 2cm and similarly, in last row length of each…

Q: A board 94 cm long is cut into two pieces so that one piece is 12 cm longer than the other. Find the…

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.