The length of a rectangular pool is to be four times its width, and a sidewalk of width 6 feet will surround the pool. If a total area of 1400has been set aside for construction, what are the dimensions of the pool?

Q: By cutting six small squares out of a rectangle, as in the picture below, one creates a pattern that…

A: The length of the initial piece of cardboard = 4 inches. The width of the initial piece of cardboard…

Q: A rectangular piece of cardboard, whose area is 198 square centimeters, is made into an open box by…

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

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

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Q: A rectangle having area 392 m2 is twice as long as it is wide.Find its dimensions.

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Q: The top and bottom margins of a poster are 2 cm and the side margins are each 6 cm. If the area of…

A: Given information:The top and bottom margins of a poster are each 2 cm, and the side margins are…

Q: A rectangular piece of metal is 30 in longer than it is wide. squares with sides 6 in. long are cut…

A: Consider the provided question,Let width of the rectangular piece of metal = x in.Length = (x + 30)…

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…

Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 1…

A: Given,            We know that the height of the box=1ft            The dimensions of the square…

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…

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 7 cm. If the area of…

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

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: An open box with a volume of 128 cm³ can be made by cutting a square of the same size from each…

A:

Q: If 5 cm and 3 cm are added to the length and width of a square, the perimeter of the resulting…

A: Given data:   The final length of the rectangle is L=x+5. The final width of the rectangle is B=x+3.…

Q: If two opposite sides of a square are increased by 12 meters and the other sides are decreased by 10…

A: Given two opposite sides of a square are increased by 12 metresand the other side decreased by 10…

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…

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Q: The length of a rectangle is 4 inches longer than its width. What are the possible widths if the…

A: As we know that the expression for the area of the rectangle is: A=l×b Where, l is the length of the…

Q: A rectangular pasture is to be fenced along four sides and divided by a fence parallel to two of the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If twice the area of a smaller square is subtracted from the area of a larger square, the result is…

A:

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: A garden is to be laid out in a rectangular area and protected by a wire fence. What is the largest…

A: Given: We have to find the largest possible area of the rectangular garden, 100 running feet of the…

Q: A poster is to have a total area of 125 square inches with 2-inch margins at the bottom and sides…

A: Find the overall dimensions of the poster that maximizes the poster area.

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

A:

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 wire 20 inches long will be cut into two parts, one to be bent to form a square and the other to…

A: We have to find side of Square and diameter of the circle

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

A:

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: The top and bottom margins of a poster are 6 cm and the side margins are each 14 cm. If the area of…

A:

Q: A rectangular garden has a width of 20 feet and a length of 24 feet. If eachside of the garden is…

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Q: The front face of a tent is triangular and the height of the triangle is two-thirds of the base. The…

A: Let us assume that the base of the front face= x So the height = 2x3 Length = x+3  Given volume =…

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: Three of the sides will require fencing and the fourth wall already exists.If the farmer has 164…

A:

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Here we find out the area of poster including margin

Q: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width. If the area of the…

A:

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: The area of a square is 81 cm² If the same amount is added to one dimension and removed from the…

A: The area, A of a square is calculated using the formula, A=a2 , where, a is the side length.

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: The area of the front cover of a daily journal is 273 cm², and the length is 8 cm greater than the…

A: Here vine that  Area of the front cover=273cm2 Let the breadth of the cover= x cm so,…

Q: A rectangular garden is 13 meters long and 11 meters wide. There is a pathway of uniform width that…

A: Given length of ractangular garden=13mwidth of rectangular garden=11mlet the width of pathway=x

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 6 cm. If the area of…

A:

Q: The area of a 12m x 14m playground is to be doubled by extending each side length an equal amount.…

A: Given Area=12m x 14mwhere, length=14m and width=12m

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

A: Let a be the width and b be the height of the poster. Let the area of the poster to be minimized be…

Q: Three of the sides will require fencing and the fourth wall already exists.If the farmer has 132…

A:

Q: The top and bottom margin of a poster are 6 cm and side margins are each 4cm. If the area of the…

A:

Q: a square lot of land has a building of 60 feet long and 40 feet wide at one corner the rest of the…

A: It is given that, the dimension of the building is 60 ft and 40 ft. The area of parking lot is 12000…

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:

Q: A piece of wire is shaped to enclose a square whose area is 169 sq. cm. It is then reshaped to…

A: area and perimeter