A ladybug crawls around the outside of a rectangle that measures 9.5 cm by 7.5 cm. The ladybug stays exactly 3.2 cm from the rectangle at all times to form a larger figure. What is the area of the new rectangle bound by the path of the bug?

Q: Kou are in charge of constructing a zoo habitat for prairie dogs, with the requirement that the…

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Q: What is the area of the triangle formed if it bounded by the x and y axes and the line,  2x - 3y =9?

A: Here we have to find the area of the traingle since Area of  Triangle = 1/2 *(hight)*base

Q: A certain field measures 1/4 mile x 1/4 mile if there 5280 ft in a mile, what would the length of…

A: Given Data: The length of the field is: l=14 mile The width of the field is: w=14 mile The number of…

Q: Find the area of a regular octagon with side 9. Round to the nearest hundredth if necessary.

A: Area of regular octagon :  A=2(1+√2)*a2 a=9 then A=2(1+√2)*9*9 A=391.1

Q: A pool measuring 16 meters by 30 meters is surrounded by a path of uniform​ width, as shown in the…

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

A: We have to find out

Q: Find the area of the largest isosceles triangle that can be inscribed in a circle of radius r=14

A: We will find required as shown below

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

A: Consider a rectangle, inscribed in a circle of radius r.Then,

Q: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

A: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

Q: Find the area of the largest rectangle that can be inscribed in a right triangle with legs of…

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Q: A farmer with 2000 meters of fencing wants to enclose a rectangular plotthat borders on a straight…

A: Total fencing is 2000 meters. Let x be the width of the rectangle, then the length of the rectangle…

Q: Find the area of a rectangle with length 4 and diagonal 6

A: We have to find the area of rectangle  having Length L=4 and diagonal d=6 let breadth of rectangle…

Q: A farmer plans to use 180 feet of fencingto enclose a rectangular region, using part of a straight…

A: Given:A farmer plans to use 180 feet of fencing to enclose a rectangular region, using part of a…

Q: What would the area of the whole rectangle be if the circles were not inside

A: Solution :

Q: Find the area of an octagon if the distance from center to vertex is 25 in.

A: The area of regular octagon with circumradius r(distance from center to vertex ): A = 22r2

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A: In the given question we have to find the value of maximum area that can be enclosed by the fence.

Q: The base of a right prism is a rectangle. If the rectangle has dimensions 2 x 3, and the prism has a…

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Q: Find the dimensions of a rectangle with an area of 225 cm2, whose perimeter is as small as possible.

A: Given that area of rectangle is 225 cm2.

Q: Find the length of the entire perimeter of the region inside r=llsine but outside r-4

A: Given:Inside r1=11sinθOutside r2=4Length of the entire perimeter:L=∫αβ r2+drdθ2  dθ L=∫αβ r12+dr1dθ2…

Q: The surface area of a rectangular prism is 450m^2. What will be the new surface area if all the…

A: Surface area of rectangular prism is :  SA = 2 ( WL + HL + HW ) Here L = length  W = Width  H =…

Q: Marcus creates a two-dimensional cross-section by slicing a cube parallel to its base. If the volume…

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Q: Find the area of the largest rectangle that fits into the triangle with slides x=0, y=0,…

A: We know that the linex4+y6=1 passes through (4,0) and (0,6).When we put the value of y=0, we will…

Q: The new owner of an apartment wants to install a window in the shape of a rectangle surrounded by a…

A: Given the perimeter of the window is 336 cm. According to the given structure, perimeter is:…

Q: Find the area of the largest circle which can be cut from a square of edge 5 in. What is the area of…

A: square edge(L) = 5 in.Area of square = L^2= 5*5= 25 sq.inthe center of the square will be the center…

Q: A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions…

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Q: A wire 20 inches long will be cut into two parts, one to be bent to form a square and the other to…

A: We have to find side of Square and diameter of the circle

Q: Find the perimeter of a regular octagon if the length of each side is 3.4 in.

A: We have to find the perimeter of a regular octagon if the length of each side is 3.4 in. We know…

Q: The owner of the Rancho Grande has 3008 yd of fencing with which to enclose a rectangular piece of…

A: Given that the owner of the Rancho Grande has 3008 yds of fencing with which to enclose a…

Q: A jeweler has three small solid spheres made of gold, of radius 2 mm, 3 mm, and 4 mm. He decides to…

A: Let the radius of large sphere be x. The volume of the large sphere is 43πx3. Model the equation for…

Q: Find the largest area of the circle which can be cut from a square of edge 4 in. What is the area of…

A: We have to find largest area of the circle which can be cut from a square of edge 4 inches and area…

Q: Find the dimensions of a rectangle (in m) with area 216 m whose perimeter is as small as possible.

A: Let x be the length and y be the width of rectangle, Perimeter P=2(x+y), Area A=xy Given A=216…

Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of Y. If…

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Q: A ladybug crawls around the outside of a rectangle that measures 9.5 cm by 6.5 cm. The ladybug stays…

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Q: A cookie company packages its cookies in rectangular prism boxes designed with square bases that…

A: The volume of the box will be: length × width × height

Q: What is the area of the rectangle at the top of this monster

A: we have to find the area of the triangle at the top of this monster

Q: Building Play Area

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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 dimension of the following shape so that total area enclosed is as large as possible, given…

A: Given the perimeter of the figure below is 120 inches.  To find the largest area possible.

Q: Find the dimensions of the isosceles triangle of largest areathat can be inscribed in a circle of…

A: here first we make a circle of radius r and inside this make an isosceles triangle. This is shown in…

Q: Find the area of this regular octagon if it has a perimeter of 40 feet. Round the answer pls to the…

A: Solution-  Given perimeter of regular octagon = 40 feet Formula of perimeter of regular octagon is…

Q: Find the area of an isosceles trapezoid whose bases are 6 and 32 and whose height is 29. Round your…

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Q: Two cubes whose edges measure 3 cm, 4 cm and 5 cm respectively to form a single cube.Find its…

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Q: The owner of a ranch has 1,000 yards of fencing material with which to enclose a rectangular piece…

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Q: Find the area of a square whose diagonal has length V10 in.

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

A:

Q: Find the dimensions of a rectangle with area 1728 m whose perimeter is as small as possible. (I both

A: Length of rectangle = 24√3 m  Width = 24√3 m

Q: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

A: If the given figure, 'h' is the height of the box The length of the box is A-2h Width of the box is…

Q: Determine the dimensions of the largest rectangle that could be inscribed in a semi-circle of radius…

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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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