Prove that the formula for the area of an equilateral triang le is so Areas 3 L? 4 %3D

Q: The hexagon ABCDEF is regular. That means all of its sides are of the same length and all of its…

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Q: 6. Find the area of a quadrilateral having sides AB = 10 cm, BC = 5 cm, CD = 14.14 cm and %3D DA =…

A: Introduction: The area of a quadrilateral is the place that is occupied by the quadrilateral.…

Q: An equilateral triangle has an area of 18v3 in². A regular hexagon has side lengths equal to that of…

A: Solution ) area of equilateral triangle = √3 a2/ 4 18 √3 = √3 a2/ 4 18 = a2/4 18×4 = a2 72 = a2 a =…

Q: The formula for the area A of a rectangle of length l andwidth w is_______

A: We know ,the area A of a rectangle with length l units and width w units is given by: A=l×w    sq.…

Q: 3. Find the area of the shaded region of the semicircle. Show all work leading to your answer. 10 in…

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Q: What is a simplified formula for the area of an equilateral triangle in terms of length of a side…

A: To determine a simplified formula for the area of an equilateral triangle in terms of length of a…

Q: the formula for the area of a rectangle is A=lw. true or false ?

A: True  Area of rectangle is length× breadth

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: 5 H. N 3 M

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Q: 1. Find the area of a regular 15-gon with perimeter 180 cm. Round your answer to the nearest tenth.

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Q: The area of a polygon can be found by subdividing it into smaller regions. Use this principle to…

A: The given figure is as follows -  Area of polygon = Area of triangle ABF + Area of triangle BIC +…

Q: A square picture has an area of 225 in.2. What id the side length of the picture?

A: Given : The area of the square picture is 225 in2. The formula for the area of a square is A = b2,…

Q: A rectangular tile will be used by John for the floor renovation. The length of a tile is 3 inches…

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Q: The area of a polygon can be found by subdividing it into smaller regions. Use this principle to…

A: To calculate the area of the given polygon.

Q: 20.) If the radius and height of a cylinder are both doubled, then the surface area is.. a. the same…

A: Let r be the radius and h be the height of the cylinder then surface area of the cylinder is given…

Q: a. find the area of a regular decagon inscribed in a circle whose radius is 4meters. b. The…

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Q: Based on the dimensions in elizabeth's sketch, how much paint in square feet will elizabeth need to…

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Q: A cube could be made using the net below. What would be the total surface area of the cube created…

A: We can find out the area of the cube in the following step

Q: Use the moving and additivity principles about area to determine the area of the triangle in the…

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Q: 23. 7 in. (x+4) in. (4x + 1) in.

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Q: Question number 7

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Q: (a) Find the smallest perimeter possible for a rectangle whose area is 25in? and what are its…

A: Due to q & a guidelines I will answer for only 1st question

Q: The area of a trapezoid is 42 in^2. What is the new area of the trapezoid if the height were tripled…

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Q: Suppose that the volume of an aluminum can is to be 97 in. Find the dimensions of the can if the…

A: given: the volume of an aluminium can is 9π in3. we have to find the dimensions of the can if the…

Q: A 6 cm by 15 cm by 18 cm rectangular prism is cut into three pieces that are 1/2, 1/3, and 1/6 of…

A: We know that, Area of base = length*breadth and Area of walls = 2(length + breadth)*h where h is the…

Q: Find the area of the trapezoid. 1.5 in 2.9 in 3.3 in Area=

A: The area of a trapezium is computed with the following formula: Area = (1 /2 )× Sum of parallel…

Q: 4) What is the AREA (in terms of Tt) of the ENTIRE circle Q if QR = 7cm?

A: 4) Given: QR = 7cm To find: Area of the circle

Q: Find the area of the largest trapezoid that can be enclosed in a semicircle of radius 12 cm if the…

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Q: IF the height of a cone is 12 cm and the radius of the base is 9 cm, fone the volume of the cone in…

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Q: ind the dimensions of the rectangle of largest area that can be inscribed in a circle of radius

A: We will create a rectangle inside the circle and find the length and breadth

Q: Find the surface area and volume of the right triangular prism. Hint: You will need to use…

A: Given query is to find the volume and the surface area.

Q: Suppose that a copper sphere of radius 3 cm is beaten and drawn into a wire of diameter 0.2 cm. What…

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Q: Find the area of the trapezoid. 0.6 in 2 in 2 in

A: Given, The parallel sides of the trapezoid is   0.6 in  and   2 in   Distance between parallel sides…

Q: Suppose that the length of the edge of a cube is doubled. Which of the following is NOT a true…

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Q: Find the ratio of the areas of two regu- lar hexagons whose sides are 2 in. and in. 3 4

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Q: Given the area of APQR is 24 in? then the length of QR is (A) 6 in (B) 10 in (D) J73 in (C) 12 in 8.…

A: Area of ∆PQR is 24 in² length of PQ = 8 inch We have to find length QR

Q: Find the area of the following trapezoids: 6. 18 10 1. 2. 3. 51 1. 8 16 /60° h 600 10 26

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Q: Given that all dimensions in Figure 8.13 are in inches, find the area of OMNPQ by using base a) MN.…

A: Given figure is:

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: The two most accurate ways to measure the size of a three dimensional figure are to use length and…

A: We have to given a statement, we have to discuss it is true or false.

Q: Suppose we were asked the question: "A rectangle is to be inscribed in a circle of radius 5cm. What…

A: A rectangle is to be inscribed in a circle of radius of 5 cm.

Q: Prove that the area of a square whose diagonal has length d is A = ¿d?.

A: The length of the diagonal of a square is d. Now let a be the length of the side of a square. Now…

Q: Find the dimensions of a rectangle of area 64 f? that has the smallest possible perimeter. O 4 ft by…

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Q: Which fractions were used in Moscow Papyrus 10th problem in solving the surface area of a basket? 1…

A: The solution of Moscow Papyrus 10th problem contains exactly 14 steps. We need to determine the…

Q: Find the length of diagonal of the rectangle with length 28 in and width 7 in. *Hint: Use…

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Q: 12) If the volume of a cube is 64cm³, find the surface area of the largest sphere that can fit…

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Q: at is the area of a regular dodecagon with 11-inch sides? 11 in.

A: Please refer to the image below

Q: President James Garfield discovered a proof of the Pythagorean Theorem in 1876 that used a diagram…

A: From above fig we have to prove a2+b2=c2

Q: Find the area (in squared units) of the largest trapezoid that can be inscribed in a circle of…

A: Given: The radius of circle is 3 units. The base is the diameter of the circle.