This is a geometry word problem that we can solve by writing an equation and factoring. The height of a triangle is 4 inches more than twice the length of the base. The area of the triangle is 35 square inches. Find the height of the triangle. WebMath is designed to help you solve your math problems. Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a step-by-step solution. Covers arithmetic, algebra, geometry, calculus and statistics. Free Geometry calculator - Calculate properties of planes, coordinates and 3d shapes step-by-step. Homework Practice and Problem-Solving Practice Workbook Math Practice Test Test your math skills with this basic math practice test with addition, substraction, division and multiplication problems. Whether you are studying for a school math exam or just looking to challenge your math skills, this test will help you assess your skill level.
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Geometry word problems involves geometric figures and angles described in words. You would need to be familiar with the formulas in geometry.
Making a sketch of the geometric figure is often helpful.
In this lesson, we will learn geometry math problems that involves perimeter.Related Topics:
Geometry math problems involving area
Geometry math problems involving angles
More Algebra Word Problems
Geometry Word Problems Involving Perimeter
Example :
A triangle has a perimeter of 50. If 2 of its sides are equal and the third side is 5 more than the equal sides, what is the length of the third side?
Solution:
Step 1: Assign variables:
Let x = length of the equal sides
Sketch the figure
Step 2: Write out the formula for perimeter of triangle.
P = sum of the three sides
Step 3: Plug in the values from the question and from the sketch.
50 = x + x + x+ 5
Combine like terms
50 = 3x + 5
Isolate variable x
3x = 50 – 5
3x = 45
x =15
Be careful! The question requires the length of the third side.
The length of third side = 15 + 5 =20
Answer: The length of third side is 20Geometry Math Problem involving the perimeter of a rectangle
The following two videos give the perimeter of a rectangle, a relationship between the length and width of the rectangle, and use that information to find the exact value of the length and width.Example:
A rectangular garden is 2.5 times as long as it is wide. It has a perimeter of 168 ft. How long and wide is the garden?
- Show Step-by-step Solutions
A rectangular landing strip for an airplane has perimeter 8000 ft. If the length is 10 ft longer than 35 times the width, what is the length and width?
Examples of perimeter geometry word problems
This video shows how to write an equation and find the dimensions of a rectangle knowing the perimeter and some information about the about the length and width.
Example:
The width of a rectangle is 3 ft less than its length. The perimeter of the rectangle is 110 ft. Find the dimensions.
Math Problem Solving Questions Geometry
- Show Step-by-step Solutions
Example:
The length of a rectangle is 7 cm more than 4 times its width. Its perimeter is 124 cm. Find its dimensions.
Help Solving Geometry Problems
Geometry Math Problem involving the perimeter of a triangle
The following two videos give the perimeter of a triangle, a relationship between the sides of the triangle, and use that information to find the exact value or values of the required side or sides.Example:
Patrick's bike ride follows a triangular path; two legs are equal, the third is 8 miles longer than the other legs. If Patrick rides 30 miles total, what is the length of the longest leg?
- Show Step-by-step Solutions
The perimeter of a triangle is 56 cm. The first side is 6 cm shorter than the second side. The third side is 2 cm shorter than twice the length of the first side. What is the length of each side?
Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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