The area of the wings of a small Cessna is 185 ft2. If the length is 32 ft longer than the width, what are the dimensions (in ft) of the wings? (This wing is one piece, rectangular, and goes along the top of the aircraft.)

Q: If the area of a trapezoid is 164 ft? and the bases are 20 ft and 12.8 ft, what is the height of the…

A: We know the area of trapezium is 12sum of parallel sides ×(Distance between them)

Q: An observatory has the shape of a right circular cylinder surmounted by a hemisphere. If the radius…

A: Given: The radius of cylinder is 14 ft. and its altitude measures 30 ft. To find: The surface area…

Q: The diagonal of a cylinder measures 5m and its diameter is 3m. What is the lateral area of the…

A:

Q: A certain field measures 1/4 mile x 1/4 mile if there 5280 ft in a mile, what would the length of…

A: Given Data: The length of the field is: l=14 mile The width of the field is: w=14 mile The number of…

Q: In the pyramid and prism below, the height is the same and the sides of the pentagon bases are the…

A: Given,  In the pyramid and prism  Height is same both have same pentagon base with same side…

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: A rectangular parcel of land is 70 ft. longer than it is wide. Each diagonal bewteen opposite…

A:

Q: A rectangular parallelipiped is of dimensions 5cm x 2cm x 5cm. How many such rectangular…

A: This question is based on LCM (least common multiple).

Q: A box with a square base has length plus girth of 108 in. (Girth is the distance "around" the box.)…

A: Consider the diagram, Observe that the box with a square base has length plus girth of 108 in. Here…

Q: The volume of the rectangular pyramid is 360 cubic feet. What must the height be?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: The floor of a storage unit is 12 meters long and 9 meters wide. What is the distance between two…

A:

Q: If the diameter of the base remains constant, by what factor should the altitude be multiplied to…

A:

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: The base of a right prism is a rectangle. If the rectangle has dimensions 2 x 3, and the prism has a…

A:

Q: . The angles of an oblique parallelepiped are equal to the corresponding angles of another…

A: Angle of Parallelepiped 1 = Angle of Parallelepiped 2Side of  Parallelepiped 1 =3 side of…

Q: A company makes square-pyramid-shaped tents with a height of 6 feet and a base with a side length of…

A:

Q: A monument outside city hall has dimensions as shown in the figure below. If one gallon of paint can…

A: Surface Area

Q: A rectangular prism has a length of 7 feet, a height of 17 feet, and a width of 9 feet. What is its…

A:

Q: The total surface area of a right square prism is 1170 ft2. Find the height of the prism if the…

A: Given, Total surface area of the right square prism = 1170 square feet Length of the sides of the…

Q: A square plot of land has a building 60 ft long and 40 ft wide at one corner. The rest of the land…

A: The building will cover an area about 60×40=2400 sq ft. The parking lot covers an area about 12000…

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: 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 side length of a smaller square is one-third the side length of a larger square. Based on this…

A: Given: The side length of a smaller square is one - third the side length of a larger square. To…

Q: A building in the shape of a cube has a width of 63 ft., a length of 63 ft., and a height of 63 ft.…

A: Given:

Q: 15. Find the length of the second base of a trapezoid with one base measuring 29 ft, a height of 9…

A:

Q: If a right triangle is formed by the placement of three squares, what is the area of the shaded…

A: Given that three squares are arranged such that a right angled triangle PBD is formed. We need to…

Q: When the radius of a sphere is doubled, the volume of the new sphere is as large as the volume of…

A: The new radius is 2r now, So, the new volume will be: V=43π(2r)3=43π(8r3)=843πr3=8(old volume)

Q: If the area of a trapezoid is 929 units2, and the lengths of the two bases are 17 & 28, what is the…

A:

Q: A rectangular prism has a length of 7 feet, a height of 17 feet, and a width of 4 feet. What is its…

A: Given that a rectangular prism has a length of 7 feet, a height of 17 feet and a width of 4 feet. To…

Q: A prism has a volume of 213 ft3. what is the volume of a pyramid that has the same base and height…

A:

Q: An architect designed a semicircular tunnel so that two trucks can pass each other with a 3-foot…

A: Let radius of semicircular tunnel be r, then its diameter will be 2r. Given: Height of truck=12…

Q: The acute angles of a symmetrical trapezium are 60 ° , its legs are 12 cm long and the perimeter is…

A:

Q: The sides of a trapezoid are each 8 cm long. How long is the 4th side, when the area of the…

A:

Q: An airplane wing casts a shadow on the ramp that is 12 ft. wide at one end, 7 ft. wide at the other…

A:

Q: Two trim boards need to be used together to cover a 12-ft length along one wall. If Jim recalls that…

A: Given that two trim boards need to be used together to cover a 12-ft length along one wall. And one…

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: The volume of a triangular pyramid is 300 cubic meters. What is the area of the pyramid's base if…

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: If there are 1; cu. ft. in a bushel, what is the capacity (in bushels) of a hopper in the shape of…

A: Given query is to find the capacity of hopper .

Q: The right triangular flag in a beach resort have legs equal to 20ft and 17 ft. How long must the…

A: Given:           The right triangular flag in a beach resort have legs equal to 20 ft and 17 ft.…

Q: A square plot of land has a building 80 ft long and 20 ft wide at one corner. The rest of the land…

A: Let x be the side of the square land area.

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: Three sides of a trapezoid are each 8cm long. How long is the 4th side, when the area of the…

A: Lets make a trapezoid ABCD.  AB   and CD a re parallel  Draw a vertical line from D  that meets at E…

Q: An artist is contracted to paint a mural on the rectangular side of a building. If the dimensions of…

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: A city lot has the shape of a right triangle whose hypotenuse is 7 ft longer than one of the other…

A: Given: A city lot has the shape of a right triangle whose hypotenuse is 7 ft longer than one of the…

Q: When the length of each edge of a cube is increased by 1 cm, the volume is increased by 61 cm'. What…

A: Since, it is given that Volume of Cube get increased by 61 cm3 wheneverthere is an increment in each…

Q: An artist is contracted to paint a mural on the rectangular side of a building. If the dimensions of…

A: The dimensions of the wall are 149 ft by 74 ft.