# gcse paper question,total cost of land sold per squire meter

• Jan 3rd 2013, 06:04 AM
Tash
gcse paper question,total cost of land sold per squire meter
Hi. Im trying to help my nephew with his gcse paper. the question is about a man who has land. this is shown in a triangle shape, with the 2 sides 112m long each and the bottom 95 m. it says he sells the land at 55 pence per squire metre. how much does he get for the land. its worth 7 marks. the measurements are not squired so i really don't know how to go about it. any help will be greatly appreciated.
• Jan 3rd 2013, 06:58 AM
Soroban
Re: gcse paper question,total cost of land sold per squire meter
Hello, Tash!

Quote:

A man has land in a triangle shape, with the 2 sides 112m long each and the bottom 95m.
He sells the land at 55 pence per square metre.
How much does he get for the land?

We must find the area of the triangle, right?

Code:

              *             /|\             / | \           /  |  \       112 /  |  \ 112         /    |h  \         /    |    \       /      |      \       *-------*-------*       :  47.5 :  47.5 :
Pythagorus says: .$\displaystyle h^2 + 47.5^2 \:=\:112^2$

Hence: .$\displaystyle h \:=\:\sqrt{112^2 - 47.5^2} \:=\:\sqrt{10,\!287.75} \;\approx\;101.43$

You know the base and height of the triangle.
. . You can find the area of the triangle.

Then you can find the value of the land.
• Jan 4th 2013, 07:38 AM
topsquark
Re: gcse paper question,total cost of land sold per squire meter
Quote:

Originally Posted by Tash
Hi. Im trying to help my nephew with his gcse paper. the question is about a man who has land. this is shown in a triangle shape, with the 2 sides 112m long each and the bottom 95 m. it says he sells the land at 55 pence per squire metre. how much does he get for the land. its worth 7 marks. the measurements are not squired so i really don't know how to go about it. any help will be greatly appreciated.

Please do not post questions that are for credit (homework, quizzes, exams, etc.)

-Dan
• Jan 4th 2013, 08:09 AM
Plato13
Re: gcse paper question,total cost of land sold per squire meter
topsquark, this will be a past paper they are practicing.