n open box is formed by cutting identical squares from each corner of a 10 inches by 10 inches sheet of per Find the dimensions of the box that will vield the maximum volume

Q: A rectangular garden is to be constructed using a rock wall as one side of the garden and wire…

A: Let the length of the rock garden = x meters breadth of the rock garden = y Fencing available = 34…

Q: 8) A rectangle has a perimeter of 8 inches. What should be the dimensions so that its area is a…

A: Given query is to find the dimensions for maximum area.

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Assume that the side length of the river side is x So AB=x Being a rectangle CD=x Now total fence…

Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with…

A: According to given question we have where AB = 14 , BC = 12EF =BD = x and FD=EB = yArea of the…

Q: We have a piece of cardboard that is 50 cm by 20 cm and we are going to cut out the corners and fold…

A: Given cardboard has: Length=50 cmWidth=20 cm   To find: After cutting out the corners, height for…

Q: A rectangular playground is to be fenced off and divided in two by another fence parallel to one…

A: Let x be the length of playground. Y be width of playground. The fencing is done as shown in figure.…

Q: A piece of wire, 100 cm long, needs to be bent to form a rectangle. Determine the dimensions of the…

A: Given that a piece of wire 100cm long, needs to be bent to form a rectangle . We have to find the…

Q: The legs of a right triangle have lengths 3 cm and 4 cm, respectively. A rectangle is inscribed in…

A: This question can be solved using the concept of maxima and minima.

Q: A rectangular area is enclosed by 144 feet of fencing. What dimensions will maximize the fenced…

A: A rectangular area is enclosed by 144 feet of fencing. That is, The perimeter of the given…

Q: A rectangular playground is to be fenced off and divided in two by another fence parallel to one…

A:

Q: 30 cm of wire is cut into 2 pieces. One piece is bent into a square, and the other piece is bent…

A: To find out the length of the two pieces.

Q: A rectangular page is to contain 89 square inches of print. The margins on each side are 1 inch.…

A:

Q: two-pen corral is to be built. The outline of the corral forms two identical adjoining rectangular…

A: follwe step 2

Q: A candy box is made from a piece of cardboard that measures 45 by 24 inches. Squa

A: Given: A candy box is made from a piece of cardboard that measures  45 by 24 inches. Squares of…

Q: A farmer Who wishes to fence in a regular plot of land with one side running along the road the cost…

A: Let the side along the road is measured x and other side is measured y. Cost of fencing along the…

Q: 3. One side of rectangular field is adjacent to a river, for the other three sides 480m of fence are…

A:

Q: A rectangular garden is to be constructed using the side of a building as one side and fencing for…

A:

Q: A rectangular page is to contain 36 square inches of print. The margins on each side are to be 1.5…

A:

Q: A rectangular playground is to be fenced off and divided in three parts by two other fence parallel…

A: To find the dimensions of the playground.

Q: A rectangular garden is to be constructed using a rock wall as one side of the garden and wire…

A: Fencing = 76m, Since, perimeter of the given rectangle=2x+y and, fencing = perimeter Then,…

Q: An open box (no top) is to be made by cutting congruent squares from each corner of a 12-inch by…

A:

Q: A farmer has 1200 m of fencing and wishes to enclose a rectangular field. One Side of the field is…

A: To find the dimensions of the rectangular field that enclose the maximum possible area.

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Given:- A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

Q: 4. A rectangular box is to be made from a piece of cardboard 15cm by 24 cm by cutting equal squares…

A: A rectangular box is to be made from a piece of cardboard 15 cm by 24 cm by cutting equal squares…

Q: A fence is to be built to enclose a rectangular area. The fence along 3 sides is to be made of…

A: According to our terms and condition i have solved first 2 questions for remaining question repost

Q: A box with a top is constructed from a piece of 200-cm by 400 out and the flaps are folded to make a…

A: Given: - A box with a top is constructed from a piece of 200 cm by 400 cm cardboard. The shaded…

Q: A farmer has 360 meters of fencing with which to build two animal pens with a common ... side as…

A: Find the dimensions if the field with the maximum area. Find maximum area?

Q: A rectangular garden is to be constructed using a rock wall as one side of the garden and wire…

A:

Q: A farmer has 300 feet of fencing to enclose a pasture bordered on one side by a river. The river…

A:

Q: The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

A:

Q: A rectangular garden is to be constructed using a rock wall as one side of the garden and wire…

A: Here we will use the area of rectangle.  Area of rectangle  , A = W×L ,  where W = width and L =…

Q: A farmer decides to enclose a rectangular​ garden, using the side of a barn as one side of the…

A: Given information: A farmer decided to enclose a rectangular garden, using the sude if a barn as one…

Q: An open box is made by cutting a square from each corner of a 12 inc by 12 inch piece of metal and…

A:

Q: A rectangular playground is to be fenced off and divided in two by another fence parallel to one…

A: 840 feet fencing is used to fence a rectangular playgrounded which is divided into two parts by…

Q: 5. An open box of maximum volume is to be made from a square piece of material, 24 inches on a side,…

A: 5 Sol:length of box = 24-2x=lwidth of box = 24-2x=wheight of box =x=hthe volume, V = (24-2x) x…

Q: A parcel delivery service will deliver a package only if the length plus girth (distance around)…

A:

Q: A rectangular box is to be made from a piece of cardboard 24 inches long and 9 inches wide by…

A: Find volume of cuboid and put zero

Q: A rectangular page is to contain 76 square inches of print. The margins on each side are 1 inch.…

A: Given: a rectangular page contain 76 square inches of print and margin on each side are 1 inch. To…

Q: You have a rectangular piece of cardboard that is 16 inches by 10 inches. You are going to cut…

A:

Q: A rectangle has a perimeter p cm. Determine the length and breadth of the rectangle when its area is…

A: Maximum area of the ractangle in terms of p

Q: A farmer builds a rectangular grid of pens with 1 row and 8 columns using 1000 feet of fencing. What…

A: We have to find the length and width e of the rectangular field so as to maximize the area.

Q: A rectangular box without a lid is to be made from 12 m2 of cardboard. Find the maximum volume of…

A: Given that a rectangular box without a lid is to be made from 12 m² of cardboard.

Q: A customer has a circular pool that is 20 feet in diameter. They want to plant bushes completely…

A: Given that: Diameter of circular pool=20 ft

Q: A nursery school wants to build a fence around the playground outback of three equal sections. The…

A: Consider the fig. for the playground to find the length and width for the playground.

Q: A rectangular field is to be bounded by a fence on three sides and by a straight stream on the…

A:

Q: A rectangular play yard is to be constructed along the side of a house by erecting a fence on three…

A: Given,  A rectangular play yard is to be constructed along the side of a house by erecting a fence…

Q: Find the dimensions of a rectangle of maximum area having a perimeter of 36 feet

A:

Q: By cutting away identical squares from each corner of a rectanglar price of cardboard  and folding…

A: let x side square cut from the end of rectangular cardboard

Q: A nursery school wants to build a fence around the playground outback of three equal sections. The…

A:

Q: A rectangle has one side on the xx-axis and two vertices on the curve y=2/(4+x^2) Find the vertices…

A: Given information:A rectangle has one side on the x-axis and two vertices on the curvey=2/(4+x^2)