In a triangular sandbox, two of the sides are 5 ft and 8 ft long. What is the range of possible side lengths of the third side?

Q: In a right triangle, one leg has length 4 and the other has length 3. What is the length of the…

A: Given : In a right triangle, one leg has length 4 and the other has length 3.

Q: The area of a parallelogram is 36 m2. If the height of the parallelogram is 9 m, what is the length…

A: Area of the parallelogram is , Area = 36 m2 The height of the parallelogram is, h = 9 m To evaluate…

Q: A jar is filled with marbles that are 1 cm in diameter. If the jar is a rectangular prism that…

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Q: A right triangle has a base of 24 cm and a height of 16 cm. What is the approximate perimeter of the…

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Q: A 53 feet wire is used to brace a utility pole. If the wire is attached 5ft from the top of the 38ft…

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Q: a square is located inside an equilateral triangle whose side is 6.5 ft. find the length (ft) of a…

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Q: The sides of a right triangle have lengths of 6 cm, 8 cm, and 10 cm. Which length is that of the…

A: Given  The sides of right angle triangle are 6 cm  , 8 cm and 10 cm

Q: The perimeter of a right triangle is 40cm, the hypotenuse is 17cm , and the shorter leg is 8cm. Find…

A: Formula used  Perimeter of triangle = sum of length of all sides Area of right angle triangle =…

Q: What is the height of the triangle if the area is 90ft?

A: In this question we need to find a height of the triangle if the area is 90ft

Q: A rectangular garden has a length of 7 3/6 ft and a width of 2 1/3 feet. How much fencing is needed…

A: Formula for perimeter of rectangle;       Perimeter=2(Length+Width)

Q: A 10 ft ladder is leaning a wall. If the base of the ladder is 6 ft from the wall, how far up the…

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Q: A trapezoidal lawn has an upper base of 16 meters and a lower base of 30 meters. the distance…

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Q: the sides of a right angled triangle are x cm for height,(x+1) cm for base,(x+2) cm for hypotenuse.…

A: We have to solve

Q: A rectangle has a width of 16 cm and a diagonal of length 20 cm. How long is the rectangle?

A: We have a given rectangle width is 16 cm diagonal length is 20 cm    We have to find the length of…

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: If posts are spaced 5 feet apart, how many posts are needed for 50 feet of straight-line fence?

A: The length of the straight-line fence is 50 feet.

Q: A cone-shaped roof has a diameter of 12 ft and a height of 8ft. If roofing material comes in 120…

A: Given: Diameter of cone is, d = 12 ft. Thus, the radius is, r = d/2 = 6 ft. The height of the roof…

Q: A farmer has 264 ft. of fencing to enclose a triangular field. If the farmer wants the sides of the…

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Q: The perimeter of an isosceles triangle is 32 cm. If the length of the altitude drawn to the base is…

A: Consider the diagram of the isosceles triangle, it is given that the perimeter of the triangle is…

Q: An older automobile has a fan belt assembly that is the shape of an isosceles triangle. The two…

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Q: The walls in a square room are each 25 feet long. What is the distance from one corner of the room…

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Q: An isosceles right triangle has a hypotenuse of length 10 cm. How long is each leg?

A: In a right triangle, the relation between legs a and b and hypotenuse h is states as follows:…

Q: A soccer field is 90 m wide and 120 m long. If coach Schwartz asks players to run from one corner…

A: The soccer field is in a rectangular shape whose width is 90 meters  and  length is  120 meters.

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 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: 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: The lengths of the line segment AC and line segment BC in the triangle are 8 cm and 11cm…

A: Given query is to find the the range fo line segment AB.

Q: The town of Goodland, Kansas, claims that it has one of the world's largest easels. It holds an…

A: Both original & reproduction are similar. So, the length to width ration is same  l1  = ?  b1 =…

Q: Adaline is designing a garden in the shape of a 45°-45°-90° triangle, with arn area of 32 ft?. To…

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Q: The perimeter of a triangle banner is 250 inches. If two sides of the banner are each 92.72 in.…

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Q: A right triangle has an area of 84 ft2 and a hypotenuse  25 ft long. What are the lengths of its…

A: A triangle is a polygon having three sides and three vertices. The sum of the interior angles of…

Q: Sam needs to make a poster that will hav argins on the sides and 2cm margins on What dimensions of…

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Q: A landowner says that his property is triangular, with one side 475 m long and another side 350 m…

A: We need to find possible lengths of triangles.

Q: The ratio of the sides of two similar hexagons is 3:4. If the area of the smaller hexagon is 36 cm²,…

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Q: A 20m wire is cut into 2pieces with the ratio 2:3. If the two pieces are formed into 2 circ;es. What…

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

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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: The perimeter of STOP is 54 cm, and ST is 1 cm longer than SP. Find ST and SP.

A: Given that Perimeter of ⏥STOP is 54 cm. Let SP¯=x cm then ST¯=x+1 cm For parallelogram.…

Q: If the perimeter of a triangular flower bed is 15 feet with two sides the same length and the third…

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Q: A rectangle sign has a perimeter of 72 ft and an area of 320 ft2. What is the length and width of…

A: Solve the following

Q: The lengths of two sides of the triangle measures 8 cm and 7.5 cm. What is the possible length of…

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Q: The lengths of three sides of a triangle are 13 cm, 14 cm, and 15 cm. Find the length of the…

A: Given: The lengths of three sides of a triangle are 13cm, 14cm, & 15cm. To find: The length of…

Q: A toy manufacturer needs a piece of plastic in the shape of a right triangle with one leg 8 cm…

A: Given a toy manufacturer needs a price of plastic in the shape of a right triangle with one leg 8 cm…

Q: If posts are 5 feet apart, how many posts are needed for 45 feet of straight-line fence?

A: Given the information that the posts are spaced 5 feet apart. Since the size of the post was not…

Q: A right triangle has legs of 12 and 5 cm respectively. How much is the product of its three heights

A: We can use mensuration in order to solve the given problem.

Q: The length and width of a room measure 8 yards by 3 yards, and the walls of the room are 8 feet…

A: Given, 1 yard = 3 feet length = 8 yards =24 feet width = 3 yards = 9 feet height = 8 feet The total…

Q: A square has an area of 25cm square. What is the length of each side?

A: let the length of each side of a square is a cm area of square =a225=a2

Q: 1. The diagonal of Andre's rectangular TV screen is 39 inches. The width of his TV screen is 34…

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Q: if the perimeter of a triangular flower bed is 15 feet with two sides the same lenght and the third…

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Q: How could you do Problem 53 without using algebra?

A: Given- A board of length 20 foot. To find- The length of two pieces, if it cut into the ratio 7:3.