If a has a length of x units and c has a length of 2x units, what will be the length of b?

Q: Consider a square of side L. By how much must the length of a side of this square be increased so…

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Q: An isosceles triangle whose equal sides form an angle θ and whose third side has length t sits on…

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Q: What is a simplified formula for the area of an equilateral triangle in terms of length of a side…

A: To determine a simplified formula for the area of an equilateral triangle in terms of length of a…

Q: The perimeter of a rectangle is 220 m, and its area is 2,400 m2. Find its dimensions (in m).

A: The perimeter of a rectangle is 220 m   The area of a rectangle is 2400 m   let length be x and…

Q: the diagonals of a rectangle ore 48 centimecters long Ond intersect at an ongle of 32°. What Is the…

A: The graphical representation of the given data is shown as the following. So, as per the question,…

Q: If the three sides of a triangle are in ratio of 3:5:7 and the perimeter of the triangle is 12 cm.…

A: Let the length of the sides of the triangle are  3x, 5x, 7x Therefore the perimeter is 3x+5x+7x=15x…

Q: A 5000 m² rectangular area of a field is to be enclosed by a fence, wi inner fence build across the…

A: Introduction: The formula for the area of a rectangle with length l and width y is given by, area=xy…

Q: A rectangular parallelipiped is of dimensions 5cm x 2cm x 5cm. How many such rectangular…

A: This question is based on LCM (least common multiple).

Q: If the length of one side of a square is x2h+1 + 5 units, find the area (in unit2) of the square.

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Q: In a certain city, E Street, W Street, C Street, and D Street are parallel streets that intersect K…

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Q: A circle has a diameter of 28 - A trapezoid has bases x and (x+2) and a height of 4.

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Q: A rectangle has a width of 16 cm and a diagonal of length 20 cm. How long is the rectangle?

A: We have a given rectangle width is 16 cm diagonal length is 20 cm    We have to find the length of…

Q: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width, as shown in the…

A: Given a pool measuring 10 meters by 20 meters is surrounded by a path of uniform width and area of…

Q: The length of a rectangle is 4 in longer than its width. If the perimeter of the rectangle is 56 in,…

A: Let width of the rectangle=x inch Given length of the rectangle is 4 inch greater than its width.…

Q: gth

A: we have been given with the base length , altitude and diagonal of a rectangle. length= x+11…

Q: in addition to 5. You need to add 5 supports under the the 3.6 m one, so that they are all equally…

A: Height of support is given with the help of trigonometric ratio.

Q: The base of a triangle is 1 cm longer than its altitude. If the area of thetriangle is 210 cm2 how…

A: Consider x as the altitude of triangle. Then, base can be written as x + 1.

Q: if a triangle has sides of x,2x,and 3x-1, what is the perimeter?

A: Here is the solution.

Q: (a) Find the smallest perimeter possible for a rectangle whose area is 25in? and what are its…

A: Due to q & a guidelines I will answer for only 1st question

Q: The volume of a truncated prism with a square as it horizontal base is equal to 5000 cubic inches.…

A: Given that, The volume of a truncated prism with a square as it horizontal base is equal to 5000…

Q: The perimeter of a rectangle is 44 cm, and its area is 105 cm2. Find its dimensions (in cm).

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Q: 9. Find the dimensions of the rectangle that has a length 3 meters more than its width and a…

A: As per bartleby guidelines we're adviced to answer first question at a time, kindly repost the other…

Q: Please help. *Draw the picture too* and explain it clearly-easy to understand (showing step by step)

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Q: A rectangle has base length x + 3, altitude length x + 1, and diagonals of length 2x each. What are…

A: The base, altitude and diagonal of a rectangle make a right triangle.

Q: A student claims that the circumference of a semicircle with diameter AB is equal to the sum of the…

A: Circumference of circle=πD  D = diameter

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: An athletic field is a 40 yd​-by-80 yd ​rectangle, with a semicircle at each of the short sides. A…

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Q: A rectangular pentagon has side length of 0.5x + 2. If the perimeter of 40cm finds the length of…

A: Known fact: Perimeter of rectangular pentagon of length a is given by P=5a.

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

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Q: If area of a triangular peice of cardboard is 90 cm2 , then The length of altitude corresponding to…

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Q: 6. The perimeter of a garden is 20m, its area is 24sq m. What are the dimensions of the garden?

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Q: A cabinet maker wants to make a simple open cab- inet as shown at right. If the middle shelf is to…

A: In the given question we have to maximize the area .

Q: For what value of x is the quadrilateral a parallelogram 3x 11 x+5

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Q: 2. The length of the photo is two more than the width. The area is 24sq in. What are the dimensions…

A: Question 2. Suppose that length of photo is x inch and according to question width of photo is (x +…

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: For a rectangle with a perimeter 20 to have the largest area, what dimensions should it have? (Enter…

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

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Q: A cabinet maker wants to make a simple open cab- inet as shown at right. If the middle shelf is to…

A: Solve according to the question

Q: E. Prove that if semicircles are constructed on each of the sides of a right triangle, then the area…

A: In triangle ABC, using pythagorus theorem - c2 = a2+b2            .............(1)Semicircle on…

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: The perimeter of OSTOP is 54 cm, and ST is I cm longer than SP. Find ST and SP.

A: The Perimeter of a Parallelogram STOP is 54 cm. ST is 1 cm longer than SP. To find: ST and SP

Q: Calculate for the perimeter and area of a regular 13-gon of side length equal to 2. a.) Perimeter:…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: 1. Construct a segment whose length is twice the length of MN.

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Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: We will find the shortest length of fence.

Q: The area of rhombus is 168m^2. If one of its diagonal is 12m.Find the length of a side of a rhombus.

A: The area of rhombus is 168m^2. If one of its diagonal is 12m.Find the length of a side of a rhombus.

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: The point where the function will be maximum can be obtained by differentiating the function and…

Q: 11. For what value of x is the quadrilateral a parallelogram?

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Q: 2. Find the lengths of all sides of the right triangle below if its area is 400. 2x

A: Topic:- Geometry  X=20 2X =40 H =20√5

Q: 21. If the area of a rectangle is 12a'b and the width of the rectangle is 4a2b?, what is the length…

A: Area of rectangle = length x width

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.