Use Polya's four-step problem-solving strategy to solve the following problem. How many different rectangles with an area of one-hundred twenty (120) square units can be formed using unit squares?

Q: Consider a square of side L. By how much must the length of a side of this square be increased so…

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Q: 5) Why can the area of a trapezoid can be found by multiplying % times its height times the sum of…

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Q: 1. Find the length of the square backyard of Manang Linda with the area of s2 - 125 + 36 2. The area…

A: AS PER POLICY I SHOULD HAVE TO CALCULATE FIRST MAIN QUESTION ONLY EVEN THOUGH I HAVE CALCULATED 2

Q: By cutting six small squares out of a rectangle, as in the picture below, one creates a pattern that…

A: From the figure dimension for the box Length of the box = 3 -2x Width of the box = (4-3x)/ 2    = 2…

Q: Find the dimensions of a rectangle with area 1,331 m2 whose perimeter is as small as possible. (If…

A: Area of a rectangle is 1331 m2, whose perimeter is small as possible.

Q: The perimeter of a rectangle is 220 m, and its area is 2,400 m2. Find its dimensions (in m).

A: The perimeter of a rectangle is 220 m   The area of a rectangle is 2400 m   let length be x and…

Q: All of the dimensions of a rectangular prism are enlarged by a factor of 4. 12 in 6 in 5 in What…

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Q: Find the total number of diagonals for a polygon of n sides if: a) n = 5 b) n = 10

A: a) Given: Number of sides of a polygon is, n=5. The total number of diagonals for a polygon of n…

Q: 2) Maria reduced the size of a rectangle to a width of 4 in. What is the new height if it was…

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Q: 5. The diagonal of a square measures 8V2 cm. What is the measure of each side of the square?

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Q: A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The…

A: The solution of the problem is given in the next step.

Q: 口 1. What dimensions would you need to calculate how much soda is in a soda can?

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Q: 11. Find the area of the square that has side length 5a6.

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Q: Alejandro buys a ring box that is 2 1/2 in x 3 in x 3 in. He places it in a rectangular prism. What…

A: The dimension of the ring box is .

Q: I need help with these please and thankyou so much

A: To find the cost of the metal per square foot

Q: . A cube has 30 cm on each side, what is its volume in cubic meters?

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: The area of trapezoid with base 1 = 25 cm, base 2 = 15 cm , and height of 4.5 cm is ______ cm²

A: QUESTION- The area of trapezoid with base 1 = 25 cm, base 2 = 15 cm , and height of 4.5 cm is ______…

Q: 03) Find the largest by cutting volume of box with rectongular little squares no top out of the four…

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Q: A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The…

A: Topic - mensuration

Q: Compute the total area A of the (infinitely many) triangles in the figure, if the height h of each…

A: Area of triangle 1 (A1)Base (b1) = 18-116 = 2-116 =116h = 35A1 = 12 x b1 x h = 12 x 116 x 35 = 3532…

Q: 7. Find the volume of the largest box that can be made by cutting equal squares out of the corners…

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Q: If an open box is made from a square tin sheet 12×12 in. by cutting an identical squares from each…

A: in this question, there is an open box made by 12*12in  tin sheet For the box to be of the largest…

Q: The perimeter of a rectangle is 44 cm, and its area is 105 cm2. Find its dimensions (in cm).

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Q: One windshield wiper is 50 units long and is affixed to a swing arm which is 80 units long from…

A: We have to find the area of the windshield, swept by the wiper blade.

Q: 4. The side of a square measures 10 in. What is the measure of the square’s diagonal?

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Q: 12. Each side of an isosceles triangle is 11 cm longer than the base. If the perimeter of the…

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Q: The following figure shows that 5"-by-5" square tiles can be used to cover a floor that measures 45"…

A: a) The square tiles having its sides as a divisor of 45 would be able to cover the width of the…

Q: 2. You are planning to make an open rectangular box from an 8 cm x 15 cm piece of cardboard. You…

A: An open rectangular box is made from a cardboard.we need to find the dimensions of largest box that…

Q: Examine several rectangles, each with a perimeter of 40 in., and find the dimensions of the…

A: Given:Perimeter =40 in.

Q: 1. A supermarket employee wants to construct an open-top box from a 14 by 30 in a piece four corners…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Robert needs to make a small box to hold paper clips. He has an index card that is 10 cm by 16 cm.…

A: To find-  Expression for volume of the box.

Q: 1. What dimensions would you need to calculate how much soda is in a soda can?

A: Choose the correct option.

Q: Jordan wants to cut a rectangular carpet with dimensions 32 cm by 80 cm into squares of equal size.…

A: I have provided an answer to this question in step-2

Q: 1. The perimeter of a rectangular swimming pool is 86m and its area is 450m2. a. How would you…

A: 1. The perimeter of a rectangular swimming pool is 86m and its area is 450m2. a. How would you check…

Q: 36. A 900 cm' open box is made by cutting 4 cm X 4 cm squares out of each corner of a square piece…

A: The given question has been solved in detail

Q: 6. Find the area of the largest circular garden which can be made from a triangular lot measuring 5,…

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Q: 13. Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

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Q: To enlarge the kit, Felix suggests including two each of two-colored cubes (using two of the colors…

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Q: Use Polya Strategy to solve. How many square in 6x6 square grid?

A: A square in 6×6 square grid. We have to find the howId many squares are there by using Polya…

Q: A triangular prism has base edges 4cm, 5cm, and 6cm long. Its lateral area is 300 cm2. What is the…

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Q: 3. A sheet of cardboard 3ft by 4ft will be made into a box by cutting equal-sized squares from each…

A: NOTE: Refresh your page if you can't see any equations. . the length, width, and height of the box…

Q: How many 1-cm squares does it take to construct a square that is 1 m on each side?

A: The length of the square on each side  Area of the square  But

Q: If the width of a rectangle is 2cm more than one-half of its length and its perimeter is 40 cm, what…

A: Let the length of the rectangle be x. And The width of the rectangle be y.

Q: Find the total number of diagonals for a polygon of n sides if: a) п %3D 6 b) n = 8

A: We know that, the number of diagonals in a polygon with n sides is given as Number of diagonal=nn-32…

Q: 5. The height of the cube toy box of Terence is 4x? - 3y?, If the volume of the cube is 64x* -27y,…

A: Given:- The height of the cube toy box of Terence is 4x2 -3y². If the volume of the cube is 64x6…

Q: What is the smallest perimeter possible for a rectangle whose area is 16 in2, and what are its…

A: Let l be the length and b be the breadth of the rectangle.

Q: A square picture has a 1-in, frame around it. If the area of the frame alone is 48 in.^2, what is…

A: let x be the side length of the square. so (x+2) is the side length of the square the frame has been…

Q: 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A: We have to find the largest possible volume of the box.

Q: 21. If the area of a rectangle is 12a'b and the width of the rectangle is 4a2b?, what is the length…

A: Area of rectangle = length x width

Q: Find the dimensions of a rectangle (in m) with area 1,331 m² whose perimeter is as small as…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.