The face frame of a cabinet is made of vertical stiles and horizontal rails. Calculate the width of the rails in the design below so that all nine rails are the same length.

Q: Find the missing lengths of the sides.

A: In this question we will be using sin and cos function for finding the base and the perpendicular…

Q: Pine Street, Rector Street, and Taylor Street intersect to form a triangular-shaped park as shown…

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Q: The sum of the interior angle measures of a polygon is 3,420°. How many sides does the polygon have?

A: Given, The sum of the interior angle measures of a polygon is 3,420°. To find: the number of sides…

Q: An open-top box is to be made by cutting small congruent squares from the corners of a…

A: Let the length of the side of the square is x in So the height of the box= x in  Length = (12-2x) in…

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 sum of the interior angles of a regular polygon is 4320°. How many sides does it have?

A: (4320+360)/180=26. 26 sides it have.

Q: Find the number of sides in a polygon whose sum of measures for its interior angles is 2160°.

A: Given: Interior angles sum is 2160o.

Q: A city park is in the shape of a triangle where the sides have lengths 127 m, 121 m, and 173 m. If a…

A: The side length of the triangular city park are : a = 127 m, b = 121 m, c = 173 m To evaluate : The…

Q: The sides of a square are 4 cm long Calculate the length of a diagonal

A: To calculate the length of the diagonal if the side of the square is 4 cm.

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: What is the missing sides length

A: By using the trigonometry ratio We can find the length

Q: A slide is 10 feet long and 6 feet high. How long is its base, from the bottom of the ladder to the…

A: The length of AC=6 ft. The length of BC=10 ft. The objective is to find the length from the bottom…

Q: To wash a window that is 15 feet off the ground, Lester leans a 17-foot ladder against the side of…

A: Given: The height to reach the window = 15 ft and the length of the ladder = 17 ft

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

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Q: The sum of the angle measures of a polygon with n sides is 3960. Find n. n =

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Q: What is the length of the missing side?

A: To find- Length of he missing side AB.

Q: A 9-foot ladder is placed 4 feet from the base of a building. About how high does the ladder reach?

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Q: 36. Arectangular ostrich pen built along the side of a river (so that only three sides of fence are…

A: 36)To find the maximum area

Q: The springboard that Eric uses in his gymnastics class has 6 - inch coils and forms an angle of 14.5…

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Q: A homeowner has 240 feet of fence to enclose a rectangular pen for a pet such that ? ≥ ?.

A: The pen is rectangular in shape.  Let say its length is L and width is W.  The perimeter P of the…

Q: a right triangular sail on homers sailboat had leg side lengths of 15 feet and 20 feet, how many…

A: Given that, A right triangular sail on homers sailboat had a leg-side of lengths of 15 feet and 20…

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 outside perimeter of the triangular brace shown in the illustration is 84 feet. If all three…

A: The outside perimeter of the triangular brace is 84 feet.

Q: A side length of 23 cm could be combined with what two other sides to form a triangle? O 10 cm and…

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Q: If you saw 12 1/16 inches off a board that is 20 3/4 inches long, the length of the remaining board…

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Q: A new bridge is being constructed using trusses as shown. What is the total length of beams needed…

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Q: parallelogram

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Q: Find the length of the altitude to the 26-in. side of a triangle whose sides are 10, 24, and 26 in.…

A: Sides of the triangle are 10, 24 and 26 inches. Clearly, 102+242=262 Therefore the given triangle…

Q: Find the dimensions of the largest side of a rectangular box that can be fitted to a triangular…

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Q: Find the area and perimeter of an isosceles triangle whose base is 48 and one of equal sides is 22…

A: The given triangle is isosceles. Whose sides are  AC=AB=22CB=48

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: List the sides in order from shortest to longest (5x+40) (7x+8) (10x) A C segment AB segment BC…

A: Given in the △ABC : m∠A=7x+8° ,  m∠B=5x+40° ,  and m∠C=10x°

Q: Find the exact length of the missing leg of a right triangle whose hypotenuse has length of 15 cm…

A: Given problem:- Find the exact length of the missing leg of a right triangle whose hypotenuse has…

Q: For a rectangle with a perimeter 20 to have the largest area, what dimensions should it have? (Enter…

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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 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: A cabinet maker wants to make a simple open cab- inet as shown at right. If the middle shelf is to…

A: Solve according to the question

Q: Find the exact length of the missing leg of a right triangle whose hypotenuse has length of 3 cm and…

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Q: A parcel delivery service will deliver a package only if the length plus girth (distance) around…

A: Given problem is :

Q: Find the missing side lengths by dragging & dropping the correct boxes onto the squares.

A: We have a right angled triangle with height = 18 units Angle opposite to height = 45 degree We need…

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

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Q: Find the dimension of the largest side of a rectangular boc that can be fitted to a triangular space…

A: Let △ABC be the required triangle. If we observe the dimensions of the triangle 15 inches, 36 inches…

Q: O Find the length of the second base of a trapezoid with one base measuring 15 feet, a height of 7.6…

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Q: How long must the brace be on a closet rod holder if the vertical side is 15 cm and the horizontal…

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Q: First, find the length of CD

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Q: Explain in detail how to find the length of the height of the support beam (h) for the 10 foot long…

A: Geometry Question

Q: A welder has four pieces of scrap steel angle of lengths 3 1 4 ft, 2 3 8 ft , and 4 3 16 ft . If…

A: Lengths of the scrap steel angle are 314 ft, 238 ft and 4316 ft

Q: For a rectangle with area 225 to have the smallest perimeter, what dimensions should it have? (Enter…

A: For the minimum perimeter of the rectangle you just need to equate the derivative of perimeter…

Q: How much chimney needs to protrude above my roof so that it complies with the building code?

A: Given data:     The given slope of the roof is: m=10/12. The horizontal distance of the chimney from…