My Math Forum  

Go Back   My Math Forum > High School Math Forum > Geometry

Geometry Geometry Math Forum


Reply
 
LinkBack Thread Tools Display Modes
March 10th, 2015, 06:54 PM   #1
Senior Member
 
Joined: Nov 2013

Posts: 247
Thanks: 2

Base length of trapezoid given area, height, and non-parallel side lengths

Let's suppose that we have a trapezoid that has an area of 164 square units. The non-parallel side lengths are 10 units and 17 units.
The height is 8 units.

Given this data, how would I find the length of the smaller parallel side?

Last edited by skipjack; March 10th, 2015 at 11:45 PM.
caters is offline  
 
March 10th, 2015, 07:32 PM   #2
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,880
Thanks: 1503

Have you made a sketch? If so, you can take advantage of two right triangles whose sides are Pythagorean triples ...

x = smaller parallel base length

x + 6 + 15 = larger parallel base length

4(2x + 21) = 164

Solve for x
skeeter is offline  
March 11th, 2015, 08:31 AM   #3
Senior Member
 
Joined: Nov 2013

Posts: 247
Thanks: 2

4(2x+21) = 164
4x+84=164
4x=80
x=20

So the length of the smaller parallel side is 20 units.
caters is offline  
March 11th, 2015, 08:58 AM   #4
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,880
Thanks: 1503

Quote:
Originally Posted by caters View Post
4(2x+21) = 164
4x+84=164
4x=80
x=20

So the length of the smaller parallel side is 20 units.
$4(2x+21) \ne 4x+84$

try again ...
skeeter is offline  
Reply

  My Math Forum > High School Math Forum > Geometry

Tags
area, base, height, length, lengths, non-parallel, nonparallel, side, trapezoid



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Spacediagonal 30 cm in a cube? Calculate the cubes side lengths? DecoratorFawn82 Geometry 6 November 21st, 2014 06:27 PM
Height of trapezoid Telu Algebra 15 June 27th, 2013 01:36 AM
[Solved] - Solve for Trapezoid base irish634 Algebra 5 August 4th, 2010 07:54 AM
Find the height of a trapezoid with basis 6 ft and 10 ft and tobymac Algebra 1 July 21st, 2009 10:45 PM
Triangle side lengths lax600 Algebra 2 March 13th, 2008 07:25 PM





Copyright © 2019 My Math Forum. All rights reserved.