A trapezoid has area 54 and height 6. How long is its median?

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must,by…

A: Consider the given statement. Let x be the border of the pool. Draw a rough diagram for the given…

Q: Of all rectangles of area 100, which has the smallest perimeter?

A: Given:  Area of rectangle =100     Let x and y  be the base and the height of the rectangle,…

Q: A trapezoid has an area of 72 cm2. If the altitude has a length of 6 cm and one base has a length of…

A: To Determine: A trapezoid has an area of 72 cm2. If the altitude has a length of 6 cm and one base…

Q: The area of a circle is 16t in. What is the radius?

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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: The bases of trapezoid are 18 and 26m. If the bases are 20m apart, find the area of the trapezoid. *

A: The area of the trapezoid is given by = (sum of the bases * height(perpendicular distance between…

Q: Find the perimeter of a right triangle with legs that measure 3 in. and 4 in.

A: Given query is to find the perimeter of the triangle . Perimeter of a polygon is the sum of the…

Q: A 5000 m² rectangular area of a field is to be enclosed by a fence, wi inner fence build across the…

A: Introduction: The formula for the area of a rectangle with length l and width y is given by, area=xy…

Q: The base edge of a square pyramid is 3 m and its altitude is 10 m Find the area of the section…

A: Given,           The base edge of a square pyramid is 3 m and its altitude is 10 m.To find: The area…

Q: The surface area of a right rectangular prism is 5,422 in. If the base is 23 x 31, find the height.…

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Q: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm, and 12 cm. The altitude of…

A: Given: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm and 12 cm. The…

Q: Given a trapezoid with an area of 90 ft² and bases of 15 and 21 ft, find the length of the height.

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Q: A circular garden has a diameter of 10' approximately how much Eddie trim is needed to surround the…

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Q: A pyramid with a square base area of 100 square inches has its height cut in half, resulting in a…

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Q: Two regular pentagons have the areas 147 ft2 and 12 ft2. What is the ratio of their perimeters?

A: Let the area of two pentagon be A1=147 ft2 and A2=12 ft2 To find the ratio of the perimeter.

Q: Find the surface area and volume of a square pyramid with side lengths of 24 in. and slant height of…

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Q: Find the area of the rhomb (diamond) with the side of length 20 cm and the diagonal of length 32 cm.

A: Find the area of the rhomb (diamond) with the side of length 20 cm and thediagonal of length 32 cm.

Q: Find the area of a trapezoid whose bases measure 14 ft. and 15 ft. and whose height measures 7 ft.

A: Solution..

Q: A circle can be inscribed in an equilateral triangle, each of whose sides has length 10 cm. Find the…

A: Area of the circle inscribed in an equilateral triangle is given by the formula - A = πa212where,a =…

Q: Does a rectangle have (a) an incenter? (b) a circumcenter?

A: Given, Does a rectangle have an incenter? The incircle is the circle lies inside the certain…

Q: equilateral triangles and whose

A: We have to find the area of the base of a regular pyramid according to the given information

Q: What is the length of the the midsegment of a trapezoid with bases of length 17 and 21? The length…

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Q: A rectangular glass window measuring 9” and 12”is divided into two equivalent right triangles by a…

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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: What is the length of the the midsegment of a trapezoid with bases of length 16 and 26? The length…

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Q: What is the length of the the midsegment of a trapezoid with bases of length 19 and 23? The length…

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Q: Find the area of a trapezoid with an altitude of length 5 ft and a median of length 2 ft.

A: To find the area of trapezoid with an altitude of length 513 ft and a median of length 214 ft.…

Q: The length of the latus rectum is called __________ the diameter.

A: The line segment that passes through the focus and is parallel to the directrix is called the latus…

Q: Find the area of an equilateral triangle with radius 2V3.

A: Known fact: The area of equilateral triangle is given by A=34a2 where a is side length of…

Q: The base of an oblique prism is a trapezoid whose bases measure 5 cm and 8 cm. The height of…

A: The trapezoid based oblique Prism.  JE = 10cm   (center to center distance) 4cm = base height…

Q: The base edge of the right triangular prism is an equilateral triangle whose perimeter is 42cm. the…

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Q: Draw a cone that is circumscribed about a regular pyramid whose base edge is 5 inches less than 3…

A: Introduction: A pyramid and a cone is very significant solid geometrical figure in mathematics. The…

Q: The perimeter of a square is no less than 72 centimeters. How long can a side be?

A: The perimeter of a square of side x is given as, P=4x Given information: It is given that the…

Q: The base edge of the right triangular prism is an equilateral triangle whose perimeter is 33.6 cm.…

A: Topic = Mensuration

Q: Find that length of canvas % meters wide is required to make a conical tent 8 meters in diameter and…

A: Canvas will be on the curved surface area of the tent.   The curved surface area of the conical tent…

Q: If the diagnosis of a rhombus are 1.7 AM and 50 cm long find the area of the rhombus in square…

A: Area of rhombus = 0.00425 m^2

Q: A quadrilateral with sides 8 cm. 9 cm, 6 cm. and 5 cm has area 45 cm2. Find the area of a similar…

A: Quadrilateral : A quadrilateral with sides 8 cm, 9 cm, 6 cm, 5 cm. The area is 45 cm2.

Q: What is the perimeter of the semicircle whose radius is 22 cm?

A: Solution:Given    r=22cmTo find the perimeter of the semicircleFormula:Perimeter of the…

Q: Find the area of a trapezoid with an altitude of length 4.2 m and a median of length 6.5 m.

A: Formula use: Area of a trapezoid whose altitude has length h and median has length m is A=hm.

Q: An oil refinery is located on the north bank of a straight river that is 2 km wide land to a point P…

A: Refinery located on north bank cost $200,000/km over the land at point P on north bank to construct…

Q: What is the area of the decagon?

A: Given, A  regular decagon, Perpendicular distance from center to  the side of the decagon is 12.3 in…

Q: A equilateral triangle whise sides is equal to 115 cm A rectangualr lot with 13 METERS  long and 8…

A: To find the perimeter of the following

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

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Q: Find the perimeter of a right triangle with legs that measure 7 in. and 24 in.

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Q: Calculate for the perimeter and area of a regular 13-gon of side length equal to 2. a.) Perimeter:…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: 2. Find the length of a rectangular lot 14 m wide and with 50 m digonal path.

A: As per guidelines we have to solve one question

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 drawbridge that is 178 feet in length is raised at its midpoint so that the uppermost points are…

A: Let us draw the image in following way: We will apply Pythagoras theorem to find the height of the…

Q: A City park is in the shape Of a trianale where the Sides have lengths 11 131m, and 154m.If a fence…

A: Triangle with sides of length 161 m, 131 m, 154 m.

Q: This shape consists of 6 congruent rectangles. If a single rectangle has a perimeter of 222 meters,…

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