The length of the base of a triangle is 3 times the length of its altitude. Find the length of the base if the area of the triangle is 54 m2.

Q: The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is…

A: We have to solve given problem: ConceptArea of triangle=1/2 * base * heightLet base of the triangle…

Q: The length of a rectangle is 5 yd more than twice the width, and the area of the rectangle is 42…

A: Given that  The length of the rectangle is 5yd more then the twice the width  Area of the rectangle…

Q: The length of a rectangle is six times Its width. If the perimeter of the rectangle Is 112 yd, find…

A: l= length of rectangle b= width of rectangle perimeter or rectangle = 2(l+b) perimeter of rectangle…

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: A swimming pool has a length of 10 ft and a height of 2.5 ft. If the pool holds 87.5 ft of water,…

A: Given data: The length of a swimming pool is l=10 ft. The height of a swimming pool is h=2.5 ft. The…

Q: The area of a triangle is 35. Find the base of the triangle if the height is 10

A: area of the triangle is given by A=12·b·h here we have Area A=35 height h=10 base b=?

Q: The base of a triangle is one half of its height. If the area of the triangle is 196 find its base…

A: Given :- Area of triangle = 196 sq.mm              b = (1/2)h             h = 2b To find the value…

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

A:

Q: The length 'p' of a rectangle is twice its width, if the perimeter is 24 cm, find the width.

A: We are given that the length 'p' of a rectangle is twice its width and the perimeter is 24 cm. We…

Q: The perimeter of a square is 54cm. Find the length of a diagonal, rounding to the nearest tenth.

A: Let a be the length of each side of square Perimeter of square =4a cm Acc to ques 4a =54 A=54/4…

Q: The length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 14…

A:

Q: A rectangle has a length of 12 and a width of 9.  Find the length of its diagonal.

A: Given that length of a rectangle =12 width of a rectangle =9 find the length of the diagonal

Q: The base of a triangle is one half as long as it's height. If the area of the triangle is 169 square…

A: Given data: The given base of the triangle in terms of its height is b=h/2. The given area of the…

Q: The length of an altitude of an equilateral triangle is 2 to the square root of 3 inches find the…

A:

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

A:

Q: The area of a rectangle is 77 yd“, and the length of the rectangle is 3 yd more than twice the…

A:

Q: A = 209 ft² (4x – 5) ft (4x + 3) ft Give the dimensions of the rectangle. The length is feet and the…

A: Here formula used Area of rectangle =length × breadth

Q: The length of a rectangle is 30 inches and the width is 12 inches. How long is the diagonal of the…

A: Given :         The length of a rectangle is 30 inches.         Width of a rectangle is 12 inches.…

Q: The perimeter of a rectangle is 300 mi. If the base is 4 times the height, find the height, the…

A:

Q: In an isosceles triangle, the longer side is twice as long as the shorter side. The area of the…

A: Sum of all sides of triangle is called perimeter of triangle

Q: The base of a triangle is two feet more than twice its height. If the area is 30 square feet, then…

A: Answer

Q: A square has the same area as a rectangle with dimensions 17 m and 23 m. Find the length of a side…

A: area of rectangle=area of square dimenshions of rectangle are 17m and 23m area=base *width…

Q: The length of a rectangle is 2 yd longer than its width. If the perimeter of the rectangle is 48 yd,…

A:

Q: The length of a rectangle is 3 yd more than twice the width, and the area of the rectangle is 77 yd.…

A:

Q: The base of a triangle is 6 inches more than its height. If the area of the triangle is 36 square…

A:

Q: The length of a rectangle is 4 in longer than its width. If the perimeter of the rectangle is 32 in,…

A: The given data is: The length of a rectangle is 4 in longer than its width. The perimeter of the…

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: Find the perimeter of a triangle if one side is 16 feet, another side is two-sevenths the perimeter,…

A:

Q: If the area of a triangular kite is 55 square feet and its base is 10 feet, find the height of the…

A: Given: The area of triangular kite is 55 square feet and its base is 10 feet. To find: The height of…

Q: The width of a rectangle rug is 7 feet, and the length of its diagonal is 25 feet. What is the area…

A: The width of a rectangle rug is 7 feet, and the length of its diagonal is 25 feet.

Q: The breadth (width) of a rectangle is 3/5 as long as it's length. If the area of the rectangle is…

A:

Q: The distance from one corner to the opposite corner of a square playground is 96 feet. To the…

A: Given:The distance from one corner to the opposite corner of a square playground is 96 feet. To the…

Q: A rectangular table is two times as long as it is wide. If the area is 50 ft2 , find the length and…

A:

Q: area of a kite is 168 square centimeters.  If one diagonal is 21 cm, find the length of the other…

A: To find the length of the diagonal of a kite if one diagonal is 21 cm and the area of the kite is…

Q: he base of a triangle is 5 times the height. If the area is 490 square feet, then what is the height…

A:

Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

A: given: perimeter=49feet

Q: The length of a rectangle is three times its width. If the perimeter of the rectangle is 72 cm, find…

A: To find the length and width of a given rectangle

Q: A square animal pen and a pen shaped like an equilateral triangle have equal perimeters. Find the…

A:

Q: The area of a rectangle is 42 in2 and the height is 7 inches. Find the length of the base and the…

A: Given: Area of ractangle=42 in2 Length =7 in

Q: In a triangle of perimeter 76 in., the length of the first side is twice the length of the second…

A: Given: The perimeter of a triangle is 76 in. The length of the first side is twice the length of the…

Q: The perimeter of an equilateral triangle is 7 inches more than the perimeter of a square, and the…

A:

Q: The length of a rectangle is 6 ft longer than its width. If the perimeter of the rectangle is 64 ft,…

A: Find the length and width

Q: One base of a trapezoid is three times the length of the second base. The height of the trapezoid is…

A:

Q: The width of a rectangle is 3 in. shorter than the length. The perimeter of the rectangle is 18 in.…

A:

Q: The area of a rectangle is 50 ft^2. If the length of the rectangle is 2 times the width, what is the…

A: length of rectangle is 10 feet width of rectangle is 5 feet

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

A: This question can be solved using the concept of properties of square.

Q: The perimeter of rectangular boars is 36cm. If the width of the board is 5cm shorter than lenght…

A: Given that the perimeter of rectangular board is 36cm .  And width of board is 5cm shorter than…

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: The length of a wall is 3 meters more twice its width and its area is 14m²what is the lenght of the…

A: Suppose the width of wall is w. Given that, length of wall l is 3 meters more than twice the width…

Q: In a triangle of perimeter 76 in., the length of the first side is twice the length of the second…

A: Given that the triangle of perimeter 76 in. Given the length of the first side is twice the length…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.