A package in the shape of a rectangular solid is to be mailed. The combination of the girth (perimeter of a cross section defined by w and h) and the length of the package is 48 in. The width is 2 in. greater than the height, and the length is 12 in. greater than the width. Find the dimensions of the package.

Q: If the height h at the center of the tent is to be 6 feet and the length l of the tent is to be 7…

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Q: The upper base of a frustum of a pyramid is 3m x 4m while the lower base is 6m x 8m. If the volume…

A: Pyramid

Q: A pool measuring 16 meters by 30 meters is surrounded by a path of uniform​ width, as shown in the…

A:

Q: A rectangular table has an area of 27ft? and a perimeter of 24ft. What are the dimensions of the…

A: Given that, A rectangular table has an area of 27 ft2 and a perimeter of 24 ft.

Q: The main tank has a radius of 95 feet. What is the volume of the quarter-sphere sized tank rounded…

A: From given, we have, The radius of spherical shape tank = 95feet.

Q: A rectangular prism has a height of 12 feet.

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Q: The volume of a rectangular solid is 12 000 cubic cm and the total surface area is 3400 square cm.…

A: Given: The volume of a rectangular solid is, V=12000 cm3 The total surface area is, S·A=3400 cm2 The…

Q: Given the volume of a cylinder is 1,215Tt cubic inches and the radius is 9 in, find the length of…

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Q: The perimeter of a rectangle is 70 in., and its diagonal is 25 in. Find its length and width.

A: Consider the statement, The perimeter of a rectangle is 70, and its diagonal is 25. Need to find the…

Q: A factory is to be built on a lot measuring 100 ft by 240 ft. A local building code specifies that a…

A: Solving this question, we can construct a quadratic equation that represent the situation. We can…

Q: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width, as shown in the…

A: Given a pool measuring 10 meters by 20 meters is surrounded by a path of uniform width and area of…

Q: The length of a rectangle is 4 in longer than its width. If the perimeter of the rectangle is 56 in,…

A: Let width of the rectangle=x inch Given length of the rectangle is 4 inch greater than its width.…

Q: Given the area of the trapezoid (2000 m^2) and the side of one base (144 m), find the length of the…

A: Given. Area of Trapezoid ABCD, A=2000m2  one base length AB=144…

Q: If x = 14 mm. and z = 30 mm., then the TOTAL SURFACE AREA of the square based pyramid is, _mm2.

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: we should find the height of the rectangle such that the window will admit the most light.

Q: Cylinder Q has a base radius of 10 cm and a height of 5 cm. Cylinder R has a radius that is half of…

A:

Q: Patrick has a rectangular patio whose length is 5 m less than the diagonaland a width that is 7 m…

A:

Q: An Olympic pool is rectangular with a length of 50 meters, a width of 25 meters, and a depth of 3…

A: Given :                     A rectangular pool with length 50 m and width 25 m.  To find :…

Q: The base of a right prism is a rhombus one side of which is 10 cm, and the shorter diagonal is 12…

A: We will find the volume of the right angle prism in the following step.

Q: 3. Gabby is designing a rectangular swimming for a client. The length and width of the pool are 10…

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Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

A: Let x and y feet be the width and length of the rectangle. Diameter of semicircle is equal to width…

Q: The sum of the radii of the bases of a frustum of a cone is 7 cm. If it has an altitude of 6 cm and…

A:

Q: The cross section of a silo is composed of an equilateral triangle, a square, a trapezoid and a…

A:

Q: A rectangular pentagon has side length of 0.5x + 2. If the perimeter of 40cm finds the length of…

A: Known fact: Perimeter of rectangular pentagon of length a is given by P=5a.

Q: the top of a table is a parllelogram with a base of 28cm and a height of 20cm . patty wants to cover…

A: From the given information, the area of the top of the table is, 28 cm×20 cm=560 cm2.

Q: In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If…

A: Given that, the sum of the external and internal radii is 14 cm and the width is 4 cm. The height of…

Q: For a given box, the height measures 3m. If the length of the rectangular base is 2m greater than…

A: Given: For a box,  Height is, h= 3 m Length is, l=b+2 m , here b is the width of the box. Lateral…

Q: width: 6 in., height: 4 in. B width: 8 in., height: 3 in. C width: 4 in., height: 6 in. width: 3 in,…

A: As we know that the volume of the rectangular prism is:   V=L·W·H   Where, L=Length W=Width H=Height

Q: A norman window consists of a rectangle surmounted by a semi-circle. If the perimeter of a norman…

A:

Q: 2. The length of the photo is two more than the width. The area is 24sq in. What are the dimensions…

A: Question 2. Suppose that length of photo is x inch and according to question width of photo is (x +…

Q: The area of the wings of a small Cessna is 185 ft2. If the length is 32 ft longer than the width,…

A:

Q: In a triangle of perimeter 76 in., the length of the first side is twice the length of the second…

A: Given: The perimeter of a triangle is 76 in. The length of the first side is twice the length of the…

Q: The volume of a square pyramid is 60 cubic inches and the height is 15 inches. Find the side length…

A: The volume of a square pyramid is 60 cubic inches and height is 15 inches.

Q: A dog trainer has 70 ft of fencing with which to create a rectangular work area for dogs. If the…

A: Explained below...

Q: If x = 19 mm. and z = 38 mm., then the TOTAL SURFACE AREA of the square based pyramid is ______mm2.

A: Given: Slant height (z) = 38 mm Side of the base (x) = 19 mm To find: Total surface area of the…

Q: One base of a trapezoid is three times the length of the second base. The height of the trapezoid is…

A:

Q: If carpeting costs $32.95 per square yard and is available in WHOLE SQUARE YARDS ONLY, find the cost…

A:

Q: For a given box, the height measures 4 m. If the length of the rectangular base is 2 m greater than…

A: The height of the box is 4 m. Length of the rectangular base is 2 m greater than the width of the…

Q: A DVD rental machine has a rectangular display beside it advertising several movies inside. The…

A:

Q: A rectangle has a perimeter of 28 ft then the dimensions of the rectangle with maximum area is a)…

A:

Q: A dog trainer has 66 ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given:Perimeter = 66 ftArea = 182 ft2

Q: A dog trainer has 58ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given that a dog trainer has 58 ft of fencing with which to create a rectangular work area for dogs.…

Q: For a given box, the height measures 6 m. If the length of the rectangular base is 2 m greater than…

A: Given: length of the box=l=2+width=2+wwidth=w=?   and height=h=6Also…

Q: the lengths of the sides of a triangle are 9cm, (6+x)cm and (x-1)cm. if the perimeter of the…

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: The point where the function will be maximum can be obtained by differentiating the function and…

Q: If the volume of the square pyramid below is 990 and the sides (x) of the square base are each 16,…

A:

Q: A prism has a volume of 160 cubic units. if the base has an area of 40 square units, how tall is the…

A: Given: Volume of prism=160 unit3 Base area=40 unit2 The objective is to find the height of the…

Q: The length of a rectangle is 1 ft less than double the width, and the area of the rectangle is 21…

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

A: