5. What number exceeds its square by the maximum amount?

Q: A farmer wishes to enclose a plot of land according to the figure. If he has 450 feet of fencing,…

A: Given: Width=x Length=y

Q: 3. A rectangular pea patch with total area 128 m² is to be enclosed by a fence and divided into…

A: Consider the given rectangular pea patch with dimensions x m by y m. The area of the rectangular pea…

Q: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

A: To Find: the dimension of the largest rectangle ( in terms of area) that can be inscribed in a…

Q: 18. A farmer wishes to enclose a rectangular region bordering a river, using 960 feet of fencing.…

A: We have to find max area of given region.

Q: 6. The surface area of a small toy ball is 18 square inches. If the radius of the ball is tripled,…

A: Given the surface area of a small toy ball is 18 square inches. Surface area of the ball = 4πr2 18 =…

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

A:

Q: 4. What is the perimeter of a rectangle whose length is 8.5in and width is 7.6in?

A: Rectangle is a two dimensional geometrical figure which have four sides in which opposite sides are…

Q: The open-topped box can be created by cutting squares from the four corners of a 20cm by 30cm piece…

A:

Q: 1. Find the area of the largest circle which can be cut from a square of edge 5in. What is the area…

A:

Q: Among all rectangles whose area is 400 m^2, which one has the smallest perimeter?

A: The objective of the question is determine the sides of the rectangle for which the perimeter is…

Q: What is the area of a rectangle with lengths (x - 5) and witdth (x + 2)?

A: Given that,  Length of rectangle = x-5 Width = x+2

Q: 8. A box is being designed in the shape of a rectangular prism. Its length is 14 inches and its…

A: Explanation and solutions is given below....

Q: 1). What positive number exceeds its cube by the maximum amount?

A: You have to find maximum  difference between cube of  positive number and the number

Q: 5.) A box is to be constructed from a square piece of zinc with side 40 in by cutting equal squares…

A: Explanation of the answer is as follows

Q: About how much greater is the perimeter of a square with area 250 square meters than a square with…

A:

Q: 6. A rectangular field is fenced off, an existing wall being used as one side. If the area of the…

A: A rectangular field is fenced off. Let l be the length l and w be the width of the rectangular…

Q: Suppose that postal requirements specify that parcels must have length plus girth at most 84 inches.…

A: Length + girth = 84 inches. Here, length = h girth = 4x so, we write h+4x=84.........(1)

Q: 7. If a cylinder has a surface area of 60 square inchess and a diameter of 3 inches, what is its…

A: Given :  Surface area of cylinder = 60 sq. Inches Diameter (2r ) = 3 inches

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

A: Modelling the problem: Let the three dimension be x, x and y .Since base is a square base.   also…

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: 17) Which describes how the area of a triangle will change if the dimensions are all enlarged by a…

A:

Q: 5- An article will be written on a 24 cm2 part of a paper. Since 1.5 cm from the top and bottom and…

A:

Q: 11. If the radius of a circle is doubled, what happens to its area? What if the radius is tripled?…

A: We know that the area of a circle is given by : Area of circle = πr2 where, r is the radius of the…

Q: 3. Prove analytically that the sum of the lengths of two sides of a triangle is greater than the…

A:

Q: 2. Postal regulations require that the sum of the length and girth of a rectangular package may not…

A: Let, length of side of square is, x and length of box is y  Postal restrictions are such that…

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

A:

Q: Find the dimensions of the rectangle of area 100 square units that has the least perimeter.

A: Solution:- Area of rectangle=100   Let assume Length of rectangle=x breath of rectangle=y   Area of…

Q: 2. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible? Find…

A: Here we have to find the dimensions of w rectangle with perimeter 100m whose area is as large as…

Q: 4. What is the total distance traveled by the object on [0,8]?

A: Given that: velocity vs time graph as shown:

Q: In how many equal parts can a wire, 50 cm long be cut so that the product of its parts is a maximum?…

A:

Q: What is the area of a quadrilateral with vertices at (-2,-6), (1,-6), (-2,0), and (1,0)? Enter the…

A:

Q: 7. The diameter of a standard basketball is 9.5 inches. If the basketballs are covered in rubber,…

A:

Q: 5. What is the largest rectangular area a farmer can enclose using 60 meters of fencing material?

A:

Q: 2. Use the fact that 12 oz is approximately 6.897 in to find the dimensions of the 12 oz Coke can…

A:

Q: 4.) Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder…

A: The given question can be solved as shown in step2

Q: 5. Suppose two different cylinders have the same volume ofV 36r cubic centimeters a. If one cylinder…

A: Application of the volume formula for a cylinder

Q: How many square units is the area enclosed by y + 2x - 5 = 0, y = 4x - x² and x² - 4y = 0 ?

A:

Q: Suppose that a rectangular pen is to be constructed with a dividing fence which forms a square on…

A:

Q: 1. A candy factory needs a box with a volume of 420 cubic inches. The height should be 2 inches less…

A: We have to find the dimensions of the box with a volume of 420 cubic inches.

Q: [5] A farmer with 2000 meters of fencing wants to enclose a rectangular plot for planting that…

A:

Q: The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m² and then divide…

A: It is given that a rectangular area is 3000000 m2 The area of rectangle is A=l⋅b, where l and b are…

Q: 7. If the surface area of a sphere is 196n square centimeters, what is the length of the diameter of…

A: Proceed as shown below...

Q: A piece of wire 27 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: 4. What is the largest area possible for a rectangle whose pe- rimeter is 2021 cm, and what its…

A: Let the length and  breadth of the rectangle are x cm and y cm respectively. Then, area of…

Q: 2. Find the area of the largest square that can be cut from a circle of radius of 4 in.

A: given,

Q: 2. Find the lengths of all sides of the right triangle below if its area is 400. 2x

A: Topic:- Geometry  X=20 2X =40 H =20√5

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

A:

Q: 22. Find the length and width of a rectangle whose perimeter is 21 meters and whose area is 20…

A: