3. If you have a length of 13 inches of string and you wish to make a 3-sided rectangle, what is the maximum area this three sided rectangle can enclose (in square inches)?

Q: 15. You want to put a fence around a rectangular field and then subdivide the field into 4 smaller…

A: Let's find.

Q: 5. Find the dimensions of the rectangle in the figure shown below that will give the maximum…

A: let's assume length of rectangle is yfeet now, equating perimeterP of given figure with 12feet so,…

Q: A rancher wants to create two rectangular pens, as shown in the figure, using an existing fence line…

A: The following solution is given below:

Q: c. Quadrilateral BEAD is a rectangle, and its perimeter is 56 cm. One side is 5 less than twice the…

A:

Q: An expecting mother wants to convert a corner of the nursery in her house into a rectangular playpen…

A: Let x and y be the dimension of the rectangular playpen. Given

Q: 9. A rancher has 400' of fencing with which to enclose two adjacent rectangular corrals. What…

A:

Q: 3. An architect is asked to design a game room in the shape of an isosceles trapezoid, where the non…

A: I am attaching image so that you understand each and every step.

Q: A piece of wire 22 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: 5.a. Suppose a wire 20 cm long is to be cut into two pieces, each of which will be formed into a…

A:

Q: 12. Show that a rectangle with given perimeter has maximum area when it is a square.

A:

Q: 2. Suppose an airline policy states that all baggage must be rectangle-shaped with the sum of the…

A: We first calculate the side of square box then calculate its volume. Using formula Volume of cube…

Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

A:

Q: 5. A farmer wants to fence an area of 9600 square feet in a rectangular field and then divide it in…

A:

Q: - The sum of the perimeters of an equilateral triangle and a square is 10. Determine the dimensions…

A:

Q: An open box is to be made from a piece of cardboard, 15 inches by 15 inches, by cutting equal…

A:

Q: A piece of wire 20 m long is cut into two pieces. One piece is bent into a square and the other is…

A: The area and circumference of the circle is πr2, 2πr respectively, where r is the radius of the…

Q: A farmer wants to fence a rectangular field and then divide it in half with a fence down the middle…

A:

Q: 4. Suppose Oceana wants to build 10 feet below the average waterline. What is the maximum amount of…

A:

Q: 2) The length of a rectangle exceeds the width by 10 cm. If each dimension were increased by 3 cm,…

A: Given that length of rectangle exceed width by 10 cm. Area of rectangle after 3 cm increase in each…

Q: The owner ofa ranch has 1,300 yards of fencing material with which to enclose a rectangular piece of…

A:

Q: 4) The sum of the bases and altitude of an isosceles trapezoid is 36cm. find the altitude if the…

A:

Q: 21) A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If…

A:

Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

A: The rectangle which can be inscribed in a right triangle with base 8 cm and height 6  cm.

Q: 1. Find the dimensions of the rectangular corral producing the greatest enclosed area split into 3…

A: Given query is to find the dimensions of the rectangular corral

Q: Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width,…

A: the length of the square end edge is =?                                     box height is =? the…

Q: 1. A 12-meter wire is cut into two pieces so that x meters will be used to form a circle and the…

A:

Q: 5. Find the maximum area of an isOsceles triangle whose perimeter is 18 inches.

A: 5) To find out the maximum area of an isosceles  triangle whose perimeter is 18 inches.

Q: A farmer wants to create four rectangular corral's to separate his livestock. He has 750m of fencing…

A: Let the dimension of the each rectangular corral be, x m by y m.The perimeter of one rectangular…

Q: A wire b is cut into two pieces. One piece is bent into an equilateral triangle and the other is…

A:

Q: 4-Find the length and width of a rectangle with perimeter 100 m that maximize the a

A: I have solved the 4th question for you since you have marked it. As per guidelines, we are supposed…

Q: 2. Find the length and width of a rectangle that has an area of 64 square feet and a minimum…

A: Find the length and width of the rectangle

Q: Albert wants to make an open box from a rectangular piece of cardboard by cutting squares out of the…

A: given ,  measure of cardboard , length =32 inches   and   breadth = 20 inches

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

A:

Q: Some airlines have restrictions on the size of items of luggage that passengers are allowed to take…

A:

Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

A:

Q: what is the maximum possible volume of rectangle box with the sum of it is 12 edges 24cm

A:

Q: A farmer has 20 feet of fencing, and he wishes to make from it a rectangular pen for his pig Wilbur,…

A: Let, width= x, length = y So, total fence needed= 2x+y=20 feet  y= 20-2x

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

A:

Q: According to the shipping regulation of a company, the girth plus the length of a parcel sent by…

A:

Q: (a) A farmer intends to fence off a rectangular pen for his pig using his barn as one of the sides.…

A: As per the answering guideline, only one question can be answered at a time. Please repost the other…

Q: 2. Find the dimensions of a rectangle with an area of 108 square feet that has the minimum…

A: Area of rectangle = (length)*(width) = 108 sq. ft we need to find dimensions of a rectangle with…

Q: A farmer has 2, 000 feet of fence and wishes to build two identical rectangular enclosures, as in…

A: Given query is to find the dimensions of the sides to maximize the area.

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular​ , with…

A: The problem can be pictorially depicted as below. The perimeter available is 2x+y.According to given…

Q: A farmer has 1,300 feet of fence and wishes to build two identical rectangular enclosures, as in the…

A: Given: A farmer has 1,300 feet of fence and wishes to build two identical rectangular enclosures as…

Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

A: Solution Given A farmer with 750 feet fencing wants to enclosed  a rectangular area and then divide…

Q: 4. Four times the width of a certain rectangle exceeds thrice its length by four inches, and five…

A: As per rules, we will solve only first question 4. Let l denotes the length of the rectangle and b…

Q: 2. b. A farmer wants to fence an area of 1.5 million square feet in a rectangular field and then…

A: Given: Fence area =1.5 million square feet