Let the width of the rectangular hall be “x” meters. The length of the hall is 5 meters longer than the width. The area of the hall is 84 square meters. Determine the length and width of the hall.

Q: Find the area of a triangular garden if the sides are approximately 7 feet, 8 feet, and 14 feet (to…

A: Let the given sides of the triangles are a, b and c.a = 7 feetb = 8 feetc = 14 feet

Q: The area of a triangle is 30 square meters. If the height is 4 meters shorter than the base, find…

A: Given query is to find the height and length of the base of the triangle.

Q: The width of a rectangular lawn is 12 meters less than the length. Find the dimensions of the lawn…

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Q: you have 60  meters of fencing and want to enclose a rectangular area up against a long straight…

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Q: The area of sector AOB is 48 π square yards. Find the circumference of circle O in terms of π.

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Q: Another garden is to be created, but it is to have a paved path around the edge. The garden has to…

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Q: The area of a square is 121 sq ft. What is the perimeter?

A: Objective is to find perimeter of the square

Q: ARST is similar to AXYZ with RS=3inches and XY=2 inches. If the area of ARST is 81 square inches,…

A: In the question two similar triangles are given ∆RST~∆XYZ. Given values. RS=3 inches; XY=2…

Q: Find the perimeter of a square if the lengths of the diagonals are 14 units long.

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

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Q: Find the area of an equilateral triangle with sides 3x - 4, and 2x+4. (Round off the final answer…

A: We have to find area of given  equilateral  triangle

Q: The area of a square is 81 centimeters what is the length of the diagonal?

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Q: The perimeter of the rectangle below is 52 cm, and its length is 17 cm. What is its area? Its area…

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Q: A small television has a picture with a diagonal measure of 10 inches and a viewing area of 48…

A: we assume screen of television as rectangle which length is l and breadth is b we know that area A…

Q: A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from…

A: We can find the answer as below using the Pythagoras theorem

Q: Find the area of an equilateral triangle with sides 3x - 2, and 2x+6. (Round off the final answer…

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Q: The perimeter of a square is 36 inches. Find the length of a diagonal. Round your answer to the…

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Q: The area of a square is 484 sq. ft. Determine the perimeter of the square.

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Q: An official playing field (including end zones) for the indoor football league has a length 40 yd…

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Q: ] The length of a side of a square window in Ana's bedroom is represented by (2x + 3). What is the…

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Q: Find the unknown side if the area of a rectangle is 21,000 square feet. The wide of the rectangle is…

A: Given area of rectangle as 21,000 square feet and width of the rectangle is 70 feet. Here we need to…

Q: Cheng plans to carpet their family room except for a border of uniform width. The family room is 5…

A: Given: Cheng plans to carpet their family room except for a border of uniform width.The family room…

Q: The height of Peter’s room is 8 meters and is 5 meters longer than its width. If the volume of the…

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Q: The volume of the water in a rectangular swimming pool is V = 4x + 28x? + 40x if the height is 4x…

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Q: The numerical difference between the area of a square and the perimeter of that square is 32. Find…

A: Given:Perimeter of the square =4sArea of a square=s2

Q: Martha bought a rectangular bedsheet. When home, she discovered that it is not fitted to her bed.…

A: Martha bought a rectangular bedsheet. When home, shediscovered that it is not fitted to her bed. So,…

Q: A rectangular sign is twice as long as it is wide. If it’s area is 8ft2, what are itslength and wide

A: We have given,Area of rectangle, A = 8ft2

Q: The perimeter of a rectangular field is 82 cm and its area is 400m2 .Find the breadth of the…

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Q: Find the perimeter of a square with a diagonal of 17 centimeters. Round your answer to the nearest…

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Q: A midsegment is 2 times the distance of the side that is parallel to.

A: Here given that A midsegment is 2 times the distance of the side that is parallel to. But this…

Q: A rectangle has a length of 7 cm and a width of 3 cm. What is the perimeter?

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Q: A banner is in the shape of a rectangle. It is 12 feet long and 7 feet wide. What is its perimeter?

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Q: Find the breadth of the rectangular plot of land whose area is 660 m and whose length is 33 m find…

A: Given that the area of rectangular plot of land is 660 m and length of rectangular plot of land is…

Q: Of 4 inches of a rectangle or patio will be decorated with small tiles. The patio is 8 feet wide and…

A: Consider the provided question, Given, The patio is 8 feet wide and 20 feet long. and, 4 inches of…

Q: The living room in the house has an area of 224 square feet and a width of 14 feet. What is the…

A: Width (B) = 14 feet Area (A) = 224 square feet Length (L) = ? [ NOTE :- Here given figure is of No…

Q: The diagonal of a rectangular field is 104 feet. If the width of the field is 40 feet, what is the…

A: To find the area of the rectangular field given that diagonal length is 104 feet and width is 40…

Q: A farmer has a rectangular garden plot surrounded by 200ft of fencing find the length and width of…

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Q: A contractor is installing carpet in a new house. The rectangular living room has an area of 96…

A: We need to find the dimensions of room.

Q: The length of Kara’s rectangular patio can be expressed as 2x − 1 and thewidth can be expressed as x…

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Q: Find the perimeter  of a rectangle in which area  is 154 in squared  and the height is 11 inches

A: Given, Area of rectangle = 154 in2  Height of rectangle = 11 in  We have to find the perimeter of…

Q: The perimeter of a rectangular pool is 520yd. if the length is 10yd less than twice the width, find…

A: Let the length and width of the rectangle be, l and w. The perimeter of the rectangle is, 520yd.

Q: show that the total area of the bunker is approximately 70m2

A: Observe the figure we can see that total area of the bunker is split in to four different triangles.…

Q: If the perimeter is 1,013 units, find the value of x and the area of the triangle.

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Q: The volume of a right cone is 48π units^3. If its height is 9 units, find its circumference in terms…

A: Recall:  volume, V=13πr2h Circumference, C=2πr We have, V=48π, h=9

Q: The diagonal of a square is 15 inches. Find the perimeter of this square.

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Q: The diagonal of a rectangle is 25 in. The width is 15 in. What is the area of the rectangle?

A: Diagonal length of the rectangle is, d = 25 in. Width of the rectangle is, w = 15 in. To evaluate :…

Q: An architect is making a floor plan for a rectangular gymnasium. If the gymnasium is 30 meters long…

A: According to the problem the length of the rectangular gymnasium is 30 meters and wide is 16 meters.…

Q: The area of a rug is 108 square feet and the length of its diagonal is 15 feet. Find the length and…

A: Given, The area of a rug = 108 square feet The length of its diagonal = 15 feet The length of the…

Q: Find the height of a rectangle if the cross section is twice the height and the width is equal to…

A: Explanation of the answer is as follows