A picture frame is in the shape of a square with a circle removed from the centre. If the radius of the circle is 10 cm and the area of the picture frame is 311 cm2, what is the length of the picture frame?

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: A company produces a​ standard-size U.S. flag that is 3 ft by 5 ft. The company also produces a​…

A: Given Data: The length of the longest side of the short flag is: l=5 ft The length of the shortest…

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

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Q: Find the semiperimeter (half the perimeter) of an isosceles triangle whose base is 10 and the height…

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Q: Solve for the area of the unshaded section of the given square. If the diameter of the semi-circle…

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Q: If the circumference of a circle is 25.12m, what is the area of the circle?

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Q: What is the radius of a cylinder if the height of the cylinder is 5cm at the bottom and 6cm at the…

A: Given:      Height of cylinder at the bottom =5 cm      Height of cylinder at the top  =6 cm…

Q: If the diameter of a sphere is 14 cm, then what is the curved surface area (in cm?) of the sphere?

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Q: Find the area of an equilateral triangle if each of its sides has length 12 cm.

A: Given: An equilateral triangle has a side length of 12 cm. The area of an equilateral triangle of…

Q: what is the area of the entire figure?

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Q: If the area of the square is 121 cm², find the length of the sides and diagonal of the square.

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Q: If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice…

A: We have to find diameter of largest slice of pizza .i.e to maximize the area of a sector .We have…

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 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: What is the radius of a circle whose area is 24.2 ft? 3.

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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: Given that a circle and a rectangle have the same perimeter, which has the larger area?

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Q: The radius of a circle is 5 cm. What is the length of the diameter?

A: We will solve the following.

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 piece of wood is in the form of an isosceles triangle whose base angles measure 40°. If the length…

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Q: If the radius of a circle is 9 in., find the radius of a circle whose area is 6 times as large.…

A: To Determine: If the radius of a circle is 9 in., find the radius of a circle whose area is 6 times…

Q: If all sides of a square are 15 cm, What is the perimeter of the square?

A: If all sides of a square are 15 cm, we have to find the perimeter of the square

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: If the circumference of the circle is 473T ft, how long is the radius of the circle?

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Q: If the area of a trapezoid is 1,299 units?, and the lengths of the two bases are 16 & 22, what is…

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Q: 1. The school is planting a circular garden. If the diameter of the garden is 6 ft, what is the…

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Q: Given a square whose side is denoted as 3(x+4)² cm. What is the diagonal length (in) of the square…

A: As we haven't mentioned which question to solve. So, I am solving first question. Given: A square…

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

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Q: A gardener plans to enclose a rectangular region using fencing on three sides and part of a shed on…

A: A gardener plans to enclose a rectangular region using fencing on three sides and part of a shed on…

Q: If a parabolic reflector of an automobile head light is 12 in. in diameter and 4 in. deep, what is…

A: To determine the area of the reflector of the headlight, lets consider the vertical cross section of…

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 side measure of a regular hexagon is 5cm and the area is 94.66 cm ^ 2 what is the length of…

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Q: if the base of a triangle is 1 cm longer than its altitude and the area of the triangle is 210 cm,…

A: The objective is to find the length of the altitude.

Q: The area of an isosceles triangle is 60 cm2 and the length of each one of its equal sides is 13 cm .…

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Q: A running track has the shape with straight sides and semicircular ends. if the length of the track…

A: Please examine the figure below that represents the running track

Q: What is the area in sq. cm of the circle circumscribed about an equilateral triangle with a side…

A: Given equilateral triangle with one side = 25cm

Q: The areas if a regular pentagon and a regular hexagon are equal to 12 sq.cm. What is the difference…

A: answer is in next step

Q: A circle has a diameter of 14 ft. If the area is tripled, what happens to the circumference.

A: Explanation of the answer is as follows

Q: If the diameter of the circle is 16 cms, What is the circumference of the circle

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Q: Suppose a rectangle has a perimeter of 120 cm. If the rectangle has a length of 32, what is the…

A: area of the rectangle = length * breath

Q: If the circumference of a circle is 18 π cm, what is the area of the circle?

A: If the radius of circle is R cm. Then circumference of the circle= 2πR cm. Area of the circle = πR^2…

Q: A hexagon is inscribed in a circle. If the difference between the area of the circle and the area of…

A: The side of the hexagon and the radius of the circle will be the same, consider a. The difference in…

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: What is the area of a regular quadrilateral with a side length of 5cm

A: see 2nd step

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

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Q: the surface area of a rectangular prism is 2,280 squar feet. If the width and height are 20 and 15…

A: Rectangular prism is cuboid  Given  Surface area SA = 2280 ft2 Width b = 20 ft Height h = 15 ft Let…