For a rectangle with area 100 to have the smallest perimeter, what dimensions should it have

Q: 1. Find the length of a side of a square whose area is 300 cm².

A: Given: Area of the square 300 cm2

Q: 8. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

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Q: The corner cupboard shown below has 3 circular shelves that each have 270° of usable space. If…

A: Although the figure is not shown, we will solve using the given data.

Q: If a playing field is 53 yards wide and 135 yards long, what is the perimeter

A: Given,Length=135width=53Perimeter=?

Q: Show that of all the rectangles with a given perimeter,the one with greatest area is a square.

A: Let the perimeter P is given.  Let, length = x and width= y So, 2(x+y)=P Or, x+y=P/2 Or, y= (P/2) -…

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: A veterinarian wishes to use 108 feet of chain-link fencing to enclose a rectangular region and…

A: We have to find out

Q: A rectangular parallelipiped is of dimensions 5cm x 2cm x 5cm. How many such rectangular…

A: This question is based on LCM (least common multiple).

Q: 3. Find the dimension of a rectangle with area 1000 m² whose perimeter is as small as possible.

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Q: What is the perimeter of trapezoid AECD to the nearest whole number?

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Q: Show that all the rectangles with a given perimeter , the square has the largest area

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Q: What is the perimeter of the regular heptagon below.

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Q: In a convex 22-gon, how many diagonals can be drawn from one vertex?   In a convex 22-gon, how many…

A: 209 diagonals   So, a polygon with 22 sides has 209 diagonals.   The sum of the exterior angles…

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be 27…

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Q: If the length of this parallelogram is 12cm long and the width is 8cm long, how long is its…

A: Find perimeter of parallelogram

Q: What would be the volume and surface area of the figure if each side cube of butter has a side…

A: Solve for surface area and volume of given figure.

Q: 2. Find the dimensions of a rectangle with an area of 225 square cm, whose perimeter is as small as…

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Q: gth

A: we have been given with the base length , altitude and diagonal of a rectangle. length= x+11…

Q: Determine the perimeter of the rectangle. 4x + 9 5 3x + 5 3x 4x + 14x + 2 O 14x + 18

A: The objective is to find the perimeter of the given rectangle

Q: If a square and a rectangle have the same area, does it mean their perimeters are the same?

A: Consider the side of the square is 4cm and length of the rectangle is 8cm, width of the rectangle is…

Q: Find the perimeter and the area of the rectangle with the given dimensions as 40 yards by 30 yards.

A: we know that area ∆ of rectangle and perimeter p of rectangle is given by ∆=l×bp=2l+b where, l is…

Q: A rectangular box of dimensions 14 ft m 18 ft m 33 ft is colored on one pair of opposite sides in re…

A: It is given that the dimension of box is 14 ft×18 ft×33 ft. It is coloured on one pair of opposite…

Q: The area of a circle is 97 sq units. If regular heptagon is circumscribed about it, find the…

A: Given that, the area of circle is 97 square units. A regular heptagon is circumscribed about it.

Q: A rectangular box has a square base of side 'x' cm and height h cm and has no top as shown in the…

A:

Q: 7. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: The objective of the question is evaluate the dimensions of the rectangle for larger area.   we have…

Q: Find the dimensions of a rectangle with perimeter 200 ft and whose area is as large as possible. O…

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Q: Find the perimeter and the area of the rectangle with the given dimensions as 50 yards by 20 yards.

A: Given  The dimensions of rectangle is 50 yards by 20 yards .   Formula :- Perimeter of rectangle  P…

Q: If one side of an equilateral triangle measures 10, what is the perimeter of the triangle

A: The side of an equilateral triangle is 10 units. The objective is to find the perimeter of the…

Q: The Pyramids of Giza are not the same in size:The length of a side of the Great Pyramid of kufu is…

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Q: a box is made from a tin sheet 7 in. square by cutting out identical squares from each corner and…

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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: 14. City college is having a poster contest. The posters must be rectangular in shape, and they must…

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Q: If two squares are congruent and if the perimeter of one is 20 cm, what is the area of the other? O…

A: Solution: The objective is to find the area of the other square

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

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Q: 2. Find the length of a side of a square whose area is the same as that of a rectangle 24 cm by 30…

A: We use Area of square = (side)2 Area of rectangle = Length X Breadth

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

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Q: How many different rectangles can be built using one-unit square with an area of twelve square…

A: Area of square = 12 sq. unit Factors of 12  = 1×12, 3×4, 4×3, 12×1 So the possible lengths and…

Q: A. What is the perimeter of the 1st iteration of the Koch Snowflake?  b. What is the perimeter of…

A: Given: The perimeter of original triangle is 9 cm. Length of each side of the equilateral triangle…

Q: If a polygon of n sides has 1/2n(n - 3) diagonals, how many sides will a polygon with 65 diagonals…

A: The number of diagonals of polygon with n sides is given by nn-32.   Consider that a polygon has 65…

Q: 2. Find the length of the edge of a cube if its length is increased by 6 cm, its width increased by…

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Q: 2. Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if…

A: Given: Rectangle inscribed inside an isosceles triangle. One side of the rectangle lies on the base…

Q: BF = Ham AE = 1Sem CF - Hem E.

A: Explanation and solutions is given below.....

Q: If 5 and 12 are the two smallest values in a Pythagorean triple, what is the largest value c, in the…

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Q: 6. Find the dimensions of a rectangle with an area of 225 cm’, whose perimeter is as small as…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A triangle has two sides of length 15 and 4. What is the largest possible whole-number length for…

A: Suppose x is the largest possible whole number length for the third side. Given us that two sides of…

Q: Suppose that an open box is to be made from a square shest of cardboard by cutting out squares from…

A: The box that has been made is in the shape of a cuboid. Volume of cuboid (V) is given as  V=l*b*h…

Q: 13. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

A: Given: Area of the rectangle is 1000 m2.

Q: 22. Find the length and width of a rectangle whose perimeter is 21 meters and whose area is 20…

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Q: Draw two rectangles which have a perimeter of 18 units, but with areas of 18 square units and 20…

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

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