*Note: we could have also tried "guess and check": And so L = 8 or −14 There are two solutions to the quadratic equation, but only one of them is possible since the length of the room cannot be negative!*

*Note: we could have also tried "guess and check": And so L = 8 or −14 There are two solutions to the quadratic equation, but only one of them is possible since the length of the room cannot be negative!*

One way to address the problem is through the use of interactive activities and this web site provides many of those.

The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school. An exercise to supplement the topic you are studying at school at the moment perhaps.

In the US (for some) a trapezium is a four sided polygon with no parallel sides; in the UK a trapezium is a four sided polygon with exactly one pair of parallel sides; whereas in Canada a trapezoid has an inclusive definition in that it’s a four sided-polygon with at least one pair of parallel sides - hence parallelograms are special trapezoids.

To read the full blog post go to Cambridge Mathematics. It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Answers to this exercise are available lower down this page when you are logged in to your Transum account.

Using the Quadratic Equation Solver we get −14 and 12.

Check −14: −14(−14 2) = (−14)×(−12) = 168 YES Check 12: 12(12 2) = 12×14 = 168 YES So there are two solutions: -14 and -12 is one, 12 and 14 is the other. Type your answers into the boxes provided leaving no spaces.As you work through the exercise regularly click the "check" button.If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.When you have got all of the questions correct you may want to print out this page and paste it into your exercise book.If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.Log in Sign up The area of a trapezium is half the sum of the parallel sides multiplied by the distance between them. Don't wait until you have finished the exercise before you click on the 'Check' button.And they are even, so they could be 2 and 4, or 4 and 6, etc.We will call the smaller integer n, and so the larger integer must be n 2 And we are told the product (what we get after multiplying) is 168, so we know: n(n 2) = 168 We are being asked for the integers Solve: That is a Quadratic Equation, and there are many ways to solve it.Answers to this exercise are available lower down this page when you are logged in to your Transum account.We know there are seven days in the week, so: d e = 7 And she trains 27 hours in a week, with d 5 hour days and e 3 hour days: 5d 3e = 27 We are being asked for how many days she trains for 5 hours: d Solve: The number of "5 hour" days is 3 Check: She trains for 5 hours on 3 days a week, so she must train for 3 hours a day on the other 4 days of the week.

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