One lateral face of the roof of the school building is trapezoid in shape. One of the bases of this trapezoid is 6 m longer than the other base. Find the length of the two bases if the median measures 19 m. With illustration please

Q: The area of a parallelogram is 36 m2. If the height of the parallelogram is 9 m, what is the length…

A: Area of the parallelogram is , Area = 36 m2 The height of the parallelogram is, h = 9 m To evaluate…

Q: The length of one leg of a right triangle is 1 m shorter than the other. If the hypotenuse is 5m…

A: Given, the length of one leg of a right triangle is 1 m shorter than the other and  the hypotenuse…

Q: The shorter leg of a right triangle is 9 cm shorter than the longer leg. The hypotenuse is 9 cm…

A:

Q: The length of one leg of the right triangle is 15 cm. The length of the other leg is 9 cm shorter…

A: Let x denotes the length of the hypotenuse. Given that length of one side of right angle triangle is…

Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

A:

Q: A building that is 15 meters tall casts a shadow that is 9 meters long. At the same time, a tree…

A: From the given data:

Q: One leg of a right triangle is 7cm shorter than the other leg. How long should the shorter leg be to…

A: →In a right angled triangle,                       Hypotenuse2 = Perpendicular2 + Base2→a - b2 = a2…

Q: A person 2 m tall casts a shadow 5 m long. At the same time, a building casts a shadow 24 m long.…

A:

Q: A rectangular parcel of land is 70 ft longer than it is wide. Each diagonal between opposite corners…

A: We have given; A rectangular parcel of land is 70 ft longer than it is wide and the diagonal is 130…

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

A: Let x be the width and y be the height of the printed area.Then, it is given that xy=1536…

Q: The first leg of a right triangle is 6cm longer than its second leg. If the hypotenuse has a length…

A:

Q: A 15-feet ladder is placed 5 feet away from a santol tree. The distance from the ground straight up…

A: A 15-feet ladder is placed 5 feet away from a santol tree. The distance from the ground straight up…

Q: The area of a trapezium is 475 cm2 and the height is 19 cm .Find the lengths of its two paallel…

A:

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A:

Q: The floor of a storage unit is 12 meters long and 9 meters wide. What is the distance between two…

A:

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Maxima and minima problem

Q: The shorter leg of a right triangle is 7 ft shorter than the longer leg. The hypotenuse is 7 ft…

A: Let the longer leg of triangle be x. Shorter leg of triangle is 7 ft shorter than the longer leg. So…

Q: Find the length of the longest pipe that can be carried level around a right-angle corner at the…

A:

Q: A rectangular garden is 25ft wide. If its area is 1125ft^2, what is the length of the garden

A:

Q: The longer leg of a right triangle is 4 m longer than the shorter leg. The hypotenuse is 8 m longer…

A:

Q: The side of a regular triangle is 2cm longer than the altitude. What is the perimeter of the…

A: Use the relation between altitude and side of a regular triangle.

Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

A:

Q: A 1-story community hospital has the shape of a right triangle with sides measuring 119.62 meters,…

A: We can find the answer as given below

Q: The longer leg of a right triangle is 1 ft longer than the shorter leg. The hypotenuse is 9 ft…

A:

Q: A triangle has a height of 10cm more than twice the length of the base. If the area of the triangle…

A:

Q: The shorter leg of a right triangle is 5 m shorter than the longer leg. The hypotenuse is 5 m longer…

A:

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: A right triangle has two shorter sides that differ in length by 2 cm. The length of the hypotenuse…

A:

Q: A wheelchair ramp is 9 feet long and sits 214 feet high. How long will a similar ramp be if it is…

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Q: The height of an equilateral triangle is also the perpendicular bisector of its base. Determine the…

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Q: The length of a rectangle is 5 m longer than its width and the area of the rectangle is 320 m² .…

A: The length of rectangle is 5m longer than its width and the area of the rectangle is 320m2.

Q: The longer leg of a right triangle is 1cm longer than the shorter leg. The hypotenuse is 9cm longer…

A: To convert the given word problem into equations and thereby determine the required sides of the…

Q: One diagonal of an isosceles trapezoid measures 72 cm and one leg measures 40 cm.what is the length…

A: Given ,  One diagonal of an isosceles trapezoid measures 72 cm and one leg measures 40 cm. We have…

Q: A fence 4 feet tall runs parallel to a tall building at a distance of 6 feet from the building. What…

A: since we have given tall building and parallel tall fence; the figure of above problem is five…

Q: if the base of a triangle is 1 cm longer than its altitude and the area of the triangle is 210 cm,…

A: The objective is to find the length of the altitude.

Q: A triangle has two sides with length 5cm. What is the largest whole numbers in centimeter, that…

A: Lets assume third side be represented by x. According to the property of a triangle sum of two any…

Q: A parcel delivery service will deliver a package only if the length plus girth (distance) around…

A: Given problem is :

Q: A rectangular tabletop has 2 opposite sides that measure 5 ft each. If the perimeter of the tabletop…

A:

Q: A ladder 52 feet long is placed so that it will reach a window of 40 feet high on one side of a…

A: Given:   To determine: Length of BD

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 6 cm. If the area of…

A: Given information:The top and bottom margins of a poster are 2 cm and the side margins are each 6…

Q: The shorter leg of a right triangle is 6 m shorter than the longer leg. The hypotenuse is 6 m longer…

A: It is given that the shorter leg of a right-angle triangle is 6meter shorter than the longer length.…

Q: If one side of a triangle is one-third the perimeter, the second side is 7 meters and the third side…

A:

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Here we find out the area of poster including margin

Q: The wall of a building is to be braced by a beam that must pass over a parallel fence 5 feet high…

A:

Q: The first leg of a right triangle is 44 cm longer than its second leg. If the hypotenuse has a…

A: Answer and explanation is given below

Q: There is a rectangular lot in the garden, with 10 ft in length and 8 ft in width. You plan to expand…

A: Given  length = 10 ft.  width = 8 ft.  And Area = 120 ft.2

Q: The four sides of an octagon that are vertical or horizontal are all one length, while the four…

A: Let the length of the vertical and horizontal sides be x each. So the length of the slant sides are…

Q: The shorter leg of a right triangle is  5cm  shorter than the longer leg. The hypotenuse is  5cm…

A:

Q: The shorter leg of a right triangle is  9cm  shorter than the longer leg. The hypotenuse is  9cm…

A:

Q: A baseball diamond has four bases (forming a square) that are 90 feet apart; the pitcher’s mound is…

A: Given: The bases of the baseball diamond are 90 ft apart. The pitcher’s mound is 60.5 feet from home…