A rancher decides to enclose a rectangular region and 2240 feet of the new fence on the other three sides. The rancher wants the length of the rectangular region to be five times as long as its width. What will be the dimensions of the rectangular region?

Q: Find the dimensions of a rectangle with an area of 2568 m^2 whose perimeter is as small as possible.

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Q: The owner of a ranch has 3,900 yards of fencing material with which to enclose a rectangular piece…

A: We have to find dimensions and largest area. Given the owner of a ranch has 3,900 yards of fencing…

Q: A rectangular swimming pool is three times as long as it is wide. If the perimeter of the pool is…

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Q: In a quadrilateral, half of the product of the sum of the lengths of parallel sides and the parallel…

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Q: If you design a rectangular raised garden such that the width is three-fourths of the length, and…

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Q: The perimeter of a soccer field is 300 yards. If the length is 50 yards longer than the width, what…

A: Let width of the field = x yards So length of the field = (x+50) yards And perimeter of the field =…

Q: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. If the…

A: I use second derivative test to find out dimensions where area is minimum

Q: Find the dimensions of a rectangle whose length is 8 more than twice its width and has a perimeter…

A:

Q: Find the dimensions of a rectangle whose width is 7 meters less than its length, and whose area is…

A: Answer:  the dimension of rectangle : length and width are as follows :

Q: If two opposite sides of a square are increased by 12 meters and the other sides are decreased by 10…

A: Given two opposite sides of a square are increased by 12 metresand the other side decreased by 10…

Q: The second side of a triangular deck is 4feet longer than the shortest​ side, and the third side is…

A: We have given,

Q: Laura has a rectangular garden whose width is x3 and whose length is x4.In terms of x, what is the…

A:

Q: The length of the rectangular swimming pool in Jake’s yard is 2ft more than twice its width. Find…

A: The length of the rectangular swimming pool in Jake’s yard is 2ft more than twice its width. Now let…

Q: The second side of a triangular deck is 6 feet longer than the shortest side, and the third side is…

A:

Q: The length of a rectangle exceeds the width by 13 yards. If the perimeter of the rectangle is 82…

A: given: the length of the rectangle exceeds the width by 13 yards. the perimeter of the rectangle is…

Q: Joe plans to enclose a rectangular plot of land using 90 feet of wire for playground. If the area is…

A: To Determine: Dimensions of the rectangle. Joe enclose a rectangular plot using 90 feet wire. Area…

Q: The side of a square exceeds the side of the another squares by 4 cm and the sum of the area of the…

A: we have given that side of a square exceeds the side of the another squares by 4 cm and the sum of…

Q: A gardern is 4 feet longer than it is wide. If both width and length are increased by five feet and…

A: Let w be the width of the old garden. Then the length of the old garden is L = w + 4 The the area of…

Q: A rectangular garden has a width smaller than twice the length of 10 feet. Find the dimensions if it…

A:

Q: A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field…

A: Solution : given length = 2*width  Now,  Perimeter= 2(length+width)  Given perimeter= 96 So using…

Q: The length of a rectangular garden is 6 meters more than the width of the garden. If the area of the…

A:

Q: The length of the rectangle exceeds its width by 5 cm and the area of the rectangle is 200 sq.cm.…

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: The length of a vegetable garden is 8 feet longer than three times the width. If the perimeter of…

A: Given: The length of a vegetable garden is 8 feet longer than three times the width The perimeter of…

Q: A man has 72 ft of fencing to put around a rectangular garden. If the length is 3 times the width,…

A: The fencing is provided around a rectangular garden. The fencing is put around the periphery of the…

Q: The and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of…

A:

Q: The size of a TV screen is given by the length of its diagonal. If the dimension of a TV screen is 8…

A: The size of TV screen is given by length of its diagonal. If the dimension of a TV screen is 8…

Q: The length of a rectangle is four times its width.If the area of the rectangle is 196cm2, find its…

A: Suppose that the width of the rectangle is x then the length of the rectangle is 4x. Now given that…

Q: The owner of a ranch has 2800 yards of fencing material with which to enclose a rectangular piece of…

A: topic-  area and perimeter of rectangle

Q: A man has marked off an area in his yard where he will plant a garden. Find the dimensions of the…

A:

Q: A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and…

A: Given- A flower bed is in the shape of a triangle with one side twice the length of the shortest…

Q: Find the dimensions of the rectangle whose perimeter is 28 metres and whose area is 40 sq metres

A: Let l and w be the length and width of the rectangle.

Q: You have 50 cm of wire, and you have to use part of this wire to make a rectangle that’s twice as…

A:

Q: The side of a square exceeds the side of the another squares by 4 cm and the sum of the areas of two…

A:

Q: A rectangular cake has a perimeter of 52 inches. If the length of the diagonal of the cake is 12…

A: The rectangle is a quadrilateral with two pairs of equal and parallel sides and four right angles. a…

Q: A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and…

A:

Q: A farmer has 900ft of fencing and wants to fence off a rectangular vegetable field. What are the…

A:

Q: If the length of a certain rectangle is  decreased by 4 feet and the width is increased by 3 feet ,…

A:

Q: Find the dimensions of a rectangle knowing that its perimeter is 372 m and that the length is 15 m…

A:

Q: Find the dimensions of a rectangle whose perimeter is 14 meters and whose area is 12 square…

A: Assume sides are x and y and find area and perimeter

Q: The length of a rectangle is 3 inches longer than it is wide. If the area is 28 square inches, what…

A: area of rectangle is = lb here width = b length = b+3 A = 28 b(b+3) = 28 b2 + 3b -28 =0 b2 +7b -4b…

Q: Find the dimensions of a rectangle whose perimeter is 44 cm and whose area is 120 cm“. Give the…

A: to find the dimensions of rectangle

Q: A backyard pool has a concrete walkway around it that is 5 feet wide on all sides.The total area of…

A:

Q: A board of length (3x* + 9x - 6) meters is to be cut into three pieces of the same length. Find the…

A:

Q: A rectangle is 4 feet longer than it is wide. If its area is 60 square feet, find its dimensions

A: Let the width of the rectangle be x, then the length is x+4 Now, Area = 60 ft2 => x(x+4) = 60

Q: The side of a square exceeds the side of the another squares by 4 cm and the sum of the area of the…

A: Area of square = a2  (where a is the side of the square)

Q: The length of a rectangle is five times its width. If the area of the rectangle is 245 m, find its…

A: Let width of the rectangle be x

Q: The length of a rectangle is three times its width. If the perimeter of the rectangle is 56 cm, find…

A:

Q: The length of a parking lot is 7 yards more than the width. If the area of the parking lot is 98…

A: Here we have to find the dimensions of parking lot

Q: Find the dimensions of a rectangle whose perimeter is 22 feet and whose area is 24 square feet.

A: The perimeter of a rectangle: Perimeter=2(l+w) Area of a rectangle is; Area=l×w Where, l is the…

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.